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Finding the Fourth Proportional to 1,550.57, 2,323.72 and 1,029.19

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Solution

The fourth proportional to 1,550.57, 2,323.72 and 1,029.19 is: 1,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.57 : 2,323.72 = 1,029.19 : x
  2. Step 2: Convert to fraction form
    1,550.57/2,323.72 = 1,029.19/x
  3. Step 3: Cross multiply
    1,550.57x = 2,323.72 × 1,029.19
  4. Step 4: Simplify right side
    1,550.57x = 2,391,549.39
  5. Step 5: Solve for x
    x = 2,391,549.39/1,550.57
  6. Step 6: Final answer
    x = 1,542.37

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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.