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Finding the Fourth Proportional to 2,679.12, 4,019.04 and 947.16

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Solution

The fourth proportional to 2,679.12, 4,019.04 and 947.16 is: 1,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.12 : 4,019.04 = 947.16 : x
  2. Step 2: Convert to fraction form
    2,679.12/4,019.04 = 947.16/x
  3. Step 3: Cross multiply
    2,679.12x = 4,019.04 × 947.16
  4. Step 4: Simplify right side
    2,679.12x = 3,806,673.93
  5. Step 5: Solve for x
    x = 3,806,673.93/2,679.12
  6. Step 6: Final answer
    x = 1,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.