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Finding the Fourth Proportional to 2,149.59, 3,225.96 and 980.91

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Solution

The fourth proportional to 2,149.59, 3,225.96 and 980.91 is: 1,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.59 : 3,225.96 = 980.91 : x
  2. Step 2: Convert to fraction form
    2,149.59/3,225.96 = 980.91/x
  3. Step 3: Cross multiply
    2,149.59x = 3,225.96 × 980.91
  4. Step 4: Simplify right side
    2,149.59x = 3,164,376.42
  5. Step 5: Solve for x
    x = 3,164,376.42/2,149.59
  6. Step 6: Final answer
    x = 1,472.08

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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.