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Finding the Fourth Proportional to 1,636.98, 2,259.15 and 928.83

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Solution

The fourth proportional to 1,636.98, 2,259.15 and 928.83 is: 1,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.98 : 2,259.15 = 928.83 : x
  2. Step 2: Convert to fraction form
    1,636.98/2,259.15 = 928.83/x
  3. Step 3: Cross multiply
    1,636.98x = 2,259.15 × 928.83
  4. Step 4: Simplify right side
    1,636.98x = 2,098,366.29
  5. Step 5: Solve for x
    x = 2,098,366.29/1,636.98
  6. Step 6: Final answer
    x = 1,281.85

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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.