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Finding the Fourth Proportional to 2,468.06, 3,702.10 and 619.17

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Solution

The fourth proportional to 2,468.06, 3,702.10 and 619.17 is: 928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.06 : 3,702.10 = 619.17 : x
  2. Step 2: Convert to fraction form
    2,468.06/3,702.10 = 619.17/x
  3. Step 3: Cross multiply
    2,468.06x = 3,702.10 × 619.17
  4. Step 4: Simplify right side
    2,468.06x = 2,292,229.26
  5. Step 5: Solve for x
    x = 2,292,229.26/2,468.06
  6. Step 6: Final answer
    x = 928.76

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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.