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Finding the Fourth Proportional to 1,125.74, 1,542.28 and 1,122.50

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Solution

The fourth proportional to 1,125.74, 1,542.28 and 1,122.50 is: 1,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.74 : 1,542.28 = 1,122.50 : x
  2. Step 2: Convert to fraction form
    1,125.74/1,542.28 = 1,122.50/x
  3. Step 3: Cross multiply
    1,125.74x = 1,542.28 × 1,122.50
  4. Step 4: Simplify right side
    1,125.74x = 1,731,209.30
  5. Step 5: Solve for x
    x = 1,731,209.30/1,125.74
  6. Step 6: Final answer
    x = 1,537.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.