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Finding the Fourth Proportional to 1,957.29, 2,937.14 and 1,033.52

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Solution

The fourth proportional to 1,957.29, 2,937.14 and 1,033.52 is: 1,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.29 : 2,937.14 = 1,033.52 : x
  2. Step 2: Convert to fraction form
    1,957.29/2,937.14 = 1,033.52/x
  3. Step 3: Cross multiply
    1,957.29x = 2,937.14 × 1,033.52
  4. Step 4: Simplify right side
    1,957.29x = 3,035,573.08
  5. Step 5: Solve for x
    x = 3,035,573.08/1,957.29
  6. Step 6: Final answer
    x = 1,550.91

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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.