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Finding the Fourth Proportional to 1,542.89, 2,128.53 and 945.15

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Solution

The fourth proportional to 1,542.89, 2,128.53 and 945.15 is: 1,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.89 : 2,128.53 = 945.15 : x
  2. Step 2: Convert to fraction form
    1,542.89/2,128.53 = 945.15/x
  3. Step 3: Cross multiply
    1,542.89x = 2,128.53 × 945.15
  4. Step 4: Simplify right side
    1,542.89x = 2,011,780.13
  5. Step 5: Solve for x
    x = 2,011,780.13/1,542.89
  6. Step 6: Final answer
    x = 1,303.90

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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.