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Finding the Fourth Proportional to 3,117.80, 4,678.12 and 1,170.14

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Solution

The fourth proportional to 3,117.80, 4,678.12 and 1,170.14 is: 1,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.80 : 4,678.12 = 1,170.14 : x
  2. Step 2: Convert to fraction form
    3,117.80/4,678.12 = 1,170.14/x
  3. Step 3: Cross multiply
    3,117.80x = 4,678.12 × 1,170.14
  4. Step 4: Simplify right side
    3,117.80x = 5,474,055.34
  5. Step 5: Solve for x
    x = 5,474,055.34/3,117.80
  6. Step 6: Final answer
    x = 1,755.74

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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.