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Finding the Fourth Proportional to 2,124.59, 3,186.73 and 891.95

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Solution

The fourth proportional to 2,124.59, 3,186.73 and 891.95 is: 1,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.59 : 3,186.73 = 891.95 : x
  2. Step 2: Convert to fraction form
    2,124.59/3,186.73 = 891.95/x
  3. Step 3: Cross multiply
    2,124.59x = 3,186.73 × 891.95
  4. Step 4: Simplify right side
    2,124.59x = 2,842,399.36
  5. Step 5: Solve for x
    x = 2,842,399.36/2,124.59
  6. Step 6: Final answer
    x = 1,337.86

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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.