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Finding the Fourth Proportional to 3,130.90, 4,318.87 and 1,952.66

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Solution

The fourth proportional to 3,130.90, 4,318.87 and 1,952.66 is: 2,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.90 : 4,318.87 = 1,952.66 : x
  2. Step 2: Convert to fraction form
    3,130.90/4,318.87 = 1,952.66/x
  3. Step 3: Cross multiply
    3,130.90x = 4,318.87 × 1,952.66
  4. Step 4: Simplify right side
    3,130.90x = 8,433,269.98
  5. Step 5: Solve for x
    x = 8,433,269.98/3,130.90
  6. Step 6: Final answer
    x = 2,693.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.