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Finding the Fourth Proportional to 3,141.96, 4,709.65 and 1,061.25

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Solution

The fourth proportional to 3,141.96, 4,709.65 and 1,061.25 is: 1,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.96 : 4,709.65 = 1,061.25 : x
  2. Step 2: Convert to fraction form
    3,141.96/4,709.65 = 1,061.25/x
  3. Step 3: Cross multiply
    3,141.96x = 4,709.65 × 1,061.25
  4. Step 4: Simplify right side
    3,141.96x = 4,998,116.06
  5. Step 5: Solve for x
    x = 4,998,116.06/3,141.96
  6. Step 6: Final answer
    x = 1,590.76

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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.