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Finding the Fourth Proportional to 2,124.85, 3,187.37 and 954.66

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Solution

The fourth proportional to 2,124.85, 3,187.37 and 954.66 is: 1,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.85 : 3,187.37 = 954.66 : x
  2. Step 2: Convert to fraction form
    2,124.85/3,187.37 = 954.66/x
  3. Step 3: Cross multiply
    2,124.85x = 3,187.37 × 954.66
  4. Step 4: Simplify right side
    2,124.85x = 3,042,854.64
  5. Step 5: Solve for x
    x = 3,042,854.64/2,124.85
  6. Step 6: Final answer
    x = 1,432.03

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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.