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Finding the Fourth Proportional to 3,117.62, 4,678.16 and 1,270.04

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Solution

The fourth proportional to 3,117.62, 4,678.16 and 1,270.04 is: 1,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.62 : 4,678.16 = 1,270.04 : x
  2. Step 2: Convert to fraction form
    3,117.62/4,678.16 = 1,270.04/x
  3. Step 3: Cross multiply
    3,117.62x = 4,678.16 × 1,270.04
  4. Step 4: Simplify right side
    3,117.62x = 5,941,438.13
  5. Step 5: Solve for x
    x = 5,941,438.13/3,117.62
  6. Step 6: Final answer
    x = 1,905.76

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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.