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Finding the Fourth Proportional to 3,117.86, 4,677.70 and 1,170.21

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Solution

The fourth proportional to 3,117.86, 4,677.70 and 1,170.21 is: 1,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.86 : 4,677.70 = 1,170.21 : x
  2. Step 2: Convert to fraction form
    3,117.86/4,677.70 = 1,170.21/x
  3. Step 3: Cross multiply
    3,117.86x = 4,677.70 × 1,170.21
  4. Step 4: Simplify right side
    3,117.86x = 5,473,891.32
  5. Step 5: Solve for x
    x = 5,473,891.32/3,117.86
  6. Step 6: Final answer
    x = 1,755.66

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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.