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Finding the Fourth Proportional to 2,679.16, 4,014.42 and 1,651

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Solution

The fourth proportional to 2,679.16, 4,014.42 and 1,651 is: 2,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.16 : 4,014.42 = 1,651 : x
  2. Step 2: Convert to fraction form
    2,679.16/4,014.42 = 1,651/x
  3. Step 3: Cross multiply
    2,679.16x = 4,014.42 × 1,651
  4. Step 4: Simplify right side
    2,679.16x = 6,627,807.42
  5. Step 5: Solve for x
    x = 6,627,807.42/2,679.16
  6. Step 6: Final answer
    x = 2,473.84

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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.