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Finding the Fourth Proportional to 3,129.96, 4,695.82 and 1,050.20

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Solution

The fourth proportional to 3,129.96, 4,695.82 and 1,050.20 is: 1,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.96 : 4,695.82 = 1,050.20 : x
  2. Step 2: Convert to fraction form
    3,129.96/4,695.82 = 1,050.20/x
  3. Step 3: Cross multiply
    3,129.96x = 4,695.82 × 1,050.20
  4. Step 4: Simplify right side
    3,129.96x = 4,931,550.16
  5. Step 5: Solve for x
    x = 4,931,550.16/3,129.96
  6. Step 6: Final answer
    x = 1,575.60

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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.