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Finding the Fourth Proportional to 1,240.13, 1,860.24 and 315.71

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Solution

The fourth proportional to 1,240.13, 1,860.24 and 315.71 is: 473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.13 : 1,860.24 = 315.71 : x
  2. Step 2: Convert to fraction form
    1,240.13/1,860.24 = 315.71/x
  3. Step 3: Cross multiply
    1,240.13x = 1,860.24 × 315.71
  4. Step 4: Simplify right side
    1,240.13x = 587,296.37
  5. Step 5: Solve for x
    x = 587,296.37/1,240.13
  6. Step 6: Final answer
    x = 473.58

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