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Finding the Fourth Proportional to 3,180.39, 4,771.19 and 988.66

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Solution

The fourth proportional to 3,180.39, 4,771.19 and 988.66 is: 1,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.39 : 4,771.19 = 988.66 : x
  2. Step 2: Convert to fraction form
    3,180.39/4,771.19 = 988.66/x
  3. Step 3: Cross multiply
    3,180.39x = 4,771.19 × 988.66
  4. Step 4: Simplify right side
    3,180.39x = 4,717,084.71
  5. Step 5: Solve for x
    x = 4,717,084.71/3,180.39
  6. Step 6: Final answer
    x = 1,483.18

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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.