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Finding the Fourth Proportional to 2,701.58, 3,726.33 and 1,654.16

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Solution

The fourth proportional to 2,701.58, 3,726.33 and 1,654.16 is: 2,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.58 : 3,726.33 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    2,701.58/3,726.33 = 1,654.16/x
  3. Step 3: Cross multiply
    2,701.58x = 3,726.33 × 1,654.16
  4. Step 4: Simplify right side
    2,701.58x = 6,163,946.03
  5. Step 5: Solve for x
    x = 6,163,946.03/2,701.58
  6. Step 6: Final answer
    x = 2,281.61

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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.