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Finding the Fourth Proportional to 4,308.40, 6,460.76 and 1,638.24

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Solution

The fourth proportional to 4,308.40, 6,460.76 and 1,638.24 is: 2,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.40 : 6,460.76 = 1,638.24 : x
  2. Step 2: Convert to fraction form
    4,308.40/6,460.76 = 1,638.24/x
  3. Step 3: Cross multiply
    4,308.40x = 6,460.76 × 1,638.24
  4. Step 4: Simplify right side
    4,308.40x = 10,584,275.46
  5. Step 5: Solve for x
    x = 10,584,275.46/4,308.40
  6. Step 6: Final answer
    x = 2,456.66

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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.