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Finding the Fourth Proportional to 2,085,382.70, 2,912,449.90 and 2,085,382.70

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Solution

The fourth proportional to 2,085,382.70, 2,912,449.90 and 2,085,382.70 is: 2,912,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,382.70 : 2,912,449.90 = 2,085,382.70 : x
  2. Step 2: Convert to fraction form
    2,085,382.70/2,912,449.90 = 2,085,382.70/x
  3. Step 3: Cross multiply
    2,085,382.70x = 2,912,449.90 × 2,085,382.70
  4. Step 4: Simplify right side
    2,085,382.70x = 6,073,572,636,076.73
  5. Step 5: Solve for x
    x = 6,073,572,636,076.73/2,085,382.70
  6. Step 6: Final answer
    x = 2,912,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.