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Finding the Fourth Proportional to 3,177.72, 4,762.44 and 1,530.90

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Solution

The fourth proportional to 3,177.72, 4,762.44 and 1,530.90 is: 2,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.72 : 4,762.44 = 1,530.90 : x
  2. Step 2: Convert to fraction form
    3,177.72/4,762.44 = 1,530.90/x
  3. Step 3: Cross multiply
    3,177.72x = 4,762.44 × 1,530.90
  4. Step 4: Simplify right side
    3,177.72x = 7,290,819.40
  5. Step 5: Solve for x
    x = 7,290,819.40/3,177.72
  6. Step 6: Final answer
    x = 2,294.36

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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.