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Finding the Fourth Proportional to 1,401.87, 1,931.52 and 935.31

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Solution

The fourth proportional to 1,401.87, 1,931.52 and 935.31 is: 1,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.87 : 1,931.52 = 935.31 : x
  2. Step 2: Convert to fraction form
    1,401.87/1,931.52 = 935.31/x
  3. Step 3: Cross multiply
    1,401.87x = 1,931.52 × 935.31
  4. Step 4: Simplify right side
    1,401.87x = 1,806,569.97
  5. Step 5: Solve for x
    x = 1,806,569.97/1,401.87
  6. Step 6: Final answer
    x = 1,288.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.