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Finding the Fourth Proportional to 2,124.29, 3,187.70 and 891.60

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Solution

The fourth proportional to 2,124.29, 3,187.70 and 891.60 is: 1,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.29 : 3,187.70 = 891.60 : x
  2. Step 2: Convert to fraction form
    2,124.29/3,187.70 = 891.60/x
  3. Step 3: Cross multiply
    2,124.29x = 3,187.70 × 891.60
  4. Step 4: Simplify right side
    2,124.29x = 2,842,148.86
  5. Step 5: Solve for x
    x = 2,842,148.86/2,124.29
  6. Step 6: Final answer
    x = 1,337.93

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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.