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Finding the Fourth Proportional to 1,404.13, 1,947.05 and 1,357.43

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Solution

The fourth proportional to 1,404.13, 1,947.05 and 1,357.43 is: 1,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.13 : 1,947.05 = 1,357.43 : x
  2. Step 2: Convert to fraction form
    1,404.13/1,947.05 = 1,357.43/x
  3. Step 3: Cross multiply
    1,404.13x = 1,947.05 × 1,357.43
  4. Step 4: Simplify right side
    1,404.13x = 2,642,967.56
  5. Step 5: Solve for x
    x = 2,642,967.56/1,404.13
  6. Step 6: Final answer
    x = 1,882.28

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.