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Finding the Fourth Proportional to 1,371.40, 2,057.14 and 591.36

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Solution

The fourth proportional to 1,371.40, 2,057.14 and 591.36 is: 887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.40 : 2,057.14 = 591.36 : x
  2. Step 2: Convert to fraction form
    1,371.40/2,057.14 = 591.36/x
  3. Step 3: Cross multiply
    1,371.40x = 2,057.14 × 591.36
  4. Step 4: Simplify right side
    1,371.40x = 1,216,510.31
  5. Step 5: Solve for x
    x = 1,216,510.31/1,371.40
  6. Step 6: Final answer
    x = 887.06

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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.