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Finding the Fourth Proportional to 3,117.78, 4,677.48 and 1,170

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Solution

The fourth proportional to 3,117.78, 4,677.48 and 1,170 is: 1,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.78 : 4,677.48 = 1,170 : x
  2. Step 2: Convert to fraction form
    3,117.78/4,677.48 = 1,170/x
  3. Step 3: Cross multiply
    3,117.78x = 4,677.48 × 1,170
  4. Step 4: Simplify right side
    3,117.78x = 5,472,651.60
  5. Step 5: Solve for x
    x = 5,472,651.60/3,117.78
  6. Step 6: Final answer
    x = 1,755.30

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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.