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Finding the Fourth Proportional to 2,642.04, 3,962.42 and 887.10

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Solution

The fourth proportional to 2,642.04, 3,962.42 and 887.10 is: 1,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.04 : 3,962.42 = 887.10 : x
  2. Step 2: Convert to fraction form
    2,642.04/3,962.42 = 887.10/x
  3. Step 3: Cross multiply
    2,642.04x = 3,962.42 × 887.10
  4. Step 4: Simplify right side
    2,642.04x = 3,515,058.35
  5. Step 5: Solve for x
    x = 3,515,058.35/2,642.04
  6. Step 6: Final answer
    x = 1,330.43

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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.