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Finding the Fourth Proportional to 2,124.61, 3,187.05 and 564.59

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Solution

The fourth proportional to 2,124.61, 3,187.05 and 564.59 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.61 : 3,187.05 = 564.59 : x
  2. Step 2: Convert to fraction form
    2,124.61/3,187.05 = 564.59/x
  3. Step 3: Cross multiply
    2,124.61x = 3,187.05 × 564.59
  4. Step 4: Simplify right side
    2,124.61x = 1,799,376.56
  5. Step 5: Solve for x
    x = 1,799,376.56/2,124.61
  6. Step 6: Final answer
    x = 846.92

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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.