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Finding the Fourth Proportional to 1,315.47, 1,972.15 and 903.37

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Solution

The fourth proportional to 1,315.47, 1,972.15 and 903.37 is: 1,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.47 : 1,972.15 = 903.37 : x
  2. Step 2: Convert to fraction form
    1,315.47/1,972.15 = 903.37/x
  3. Step 3: Cross multiply
    1,315.47x = 1,972.15 × 903.37
  4. Step 4: Simplify right side
    1,315.47x = 1,781,581.15
  5. Step 5: Solve for x
    x = 1,781,581.15/1,315.47
  6. Step 6: Final answer
    x = 1,354.33

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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.