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Finding the Fourth Proportional to 1,542.62, 2,129.64 and 1,045.64

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Solution

The fourth proportional to 1,542.62, 2,129.64 and 1,045.64 is: 1,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.62 : 2,129.64 = 1,045.64 : x
  2. Step 2: Convert to fraction form
    1,542.62/2,129.64 = 1,045.64/x
  3. Step 3: Cross multiply
    1,542.62x = 2,129.64 × 1,045.64
  4. Step 4: Simplify right side
    1,542.62x = 2,226,836.77
  5. Step 5: Solve for x
    x = 2,226,836.77/1,542.62
  6. Step 6: Final answer
    x = 1,443.54

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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.