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Finding the Fourth Proportional to 2,469.61, 3,704.80 and 988.83

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Solution

The fourth proportional to 2,469.61, 3,704.80 and 988.83 is: 1,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.61 : 3,704.80 = 988.83 : x
  2. Step 2: Convert to fraction form
    2,469.61/3,704.80 = 988.83/x
  3. Step 3: Cross multiply
    2,469.61x = 3,704.80 × 988.83
  4. Step 4: Simplify right side
    2,469.61x = 3,663,417.38
  5. Step 5: Solve for x
    x = 3,663,417.38/2,469.61
  6. Step 6: Final answer
    x = 1,483.40

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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.