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Finding the Fourth Proportional to 2,702.58, 4,062.98 and 2,160.69

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Solution

The fourth proportional to 2,702.58, 4,062.98 and 2,160.69 is: 3,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.58 : 4,062.98 = 2,160.69 : x
  2. Step 2: Convert to fraction form
    2,702.58/4,062.98 = 2,160.69/x
  3. Step 3: Cross multiply
    2,702.58x = 4,062.98 × 2,160.69
  4. Step 4: Simplify right side
    2,702.58x = 8,778,840.26
  5. Step 5: Solve for x
    x = 8,778,840.26/2,702.58
  6. Step 6: Final answer
    x = 3,248.32

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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.