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Finding the Fourth Proportional to 3,113.31, 4,670.71 and 1,061.31

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Solution

The fourth proportional to 3,113.31, 4,670.71 and 1,061.31 is: 1,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.31 : 4,670.71 = 1,061.31 : x
  2. Step 2: Convert to fraction form
    3,113.31/4,670.71 = 1,061.31/x
  3. Step 3: Cross multiply
    3,113.31x = 4,670.71 × 1,061.31
  4. Step 4: Simplify right side
    3,113.31x = 4,957,081.58
  5. Step 5: Solve for x
    x = 4,957,081.58/3,113.31
  6. Step 6: Final answer
    x = 1,592.22

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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.