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Finding the Fourth Proportional to 2,638.98, 3,646.32 and 2,306.88

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Solution

The fourth proportional to 2,638.98, 3,646.32 and 2,306.88 is: 3,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,646.32 = 2,306.88 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,646.32 = 2,306.88/x
  3. Step 3: Cross multiply
    2,638.98x = 3,646.32 × 2,306.88
  4. Step 4: Simplify right side
    2,638.98x = 8,411,614.03
  5. Step 5: Solve for x
    x = 8,411,614.03/2,638.98
  6. Step 6: Final answer
    x = 3,187.45

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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.