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Finding the Fourth Proportional to 2,084.70, 3,123.43 and 1,465.50

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Solution

The fourth proportional to 2,084.70, 3,123.43 and 1,465.50 is: 2,195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.70 : 3,123.43 = 1,465.50 : x
  2. Step 2: Convert to fraction form
    2,084.70/3,123.43 = 1,465.50/x
  3. Step 3: Cross multiply
    2,084.70x = 3,123.43 × 1,465.50
  4. Step 4: Simplify right side
    2,084.70x = 4,577,394.71
  5. Step 5: Solve for x
    x = 4,577,394.71/2,084.70
  6. Step 6: Final answer
    x = 2,195.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.