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Finding the Fourth Proportional to 2,498.52, 3,445.50 and 1,646.28

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Solution

The fourth proportional to 2,498.52, 3,445.50 and 1,646.28 is: 2,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.52 : 3,445.50 = 1,646.28 : x
  2. Step 2: Convert to fraction form
    2,498.52/3,445.50 = 1,646.28/x
  3. Step 3: Cross multiply
    2,498.52x = 3,445.50 × 1,646.28
  4. Step 4: Simplify right side
    2,498.52x = 5,672,257.74
  5. Step 5: Solve for x
    x = 5,672,257.74/2,498.52
  6. Step 6: Final answer
    x = 2,270.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.