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Finding the Fourth Proportional to 1,313.74, 1,974.21 and 1,265.14

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Solution

The fourth proportional to 1,313.74, 1,974.21 and 1,265.14 is: 1,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.74 : 1,974.21 = 1,265.14 : x
  2. Step 2: Convert to fraction form
    1,313.74/1,974.21 = 1,265.14/x
  3. Step 3: Cross multiply
    1,313.74x = 1,974.21 × 1,265.14
  4. Step 4: Simplify right side
    1,313.74x = 2,497,652.04
  5. Step 5: Solve for x
    x = 2,497,652.04/1,313.74
  6. Step 6: Final answer
    x = 1,901.18

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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.