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Finding the Fourth Proportional to 2,504.70, 3,456.46 and 1,400.70

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Solution

The fourth proportional to 2,504.70, 3,456.46 and 1,400.70 is: 1,932.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.70 : 3,456.46 = 1,400.70 : x
  2. Step 2: Convert to fraction form
    2,504.70/3,456.46 = 1,400.70/x
  3. Step 3: Cross multiply
    2,504.70x = 3,456.46 × 1,400.70
  4. Step 4: Simplify right side
    2,504.70x = 4,841,463.52
  5. Step 5: Solve for x
    x = 4,841,463.52/2,504.70
  6. Step 6: Final answer
    x = 1,932.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.