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Finding the Fourth Proportional to 2,871.36, 3,962.48 and 1,878.32

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Solution

The fourth proportional to 2,871.36, 3,962.48 and 1,878.32 is: 2,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.36 : 3,962.48 = 1,878.32 : x
  2. Step 2: Convert to fraction form
    2,871.36/3,962.48 = 1,878.32/x
  3. Step 3: Cross multiply
    2,871.36x = 3,962.48 × 1,878.32
  4. Step 4: Simplify right side
    2,871.36x = 7,442,805.43
  5. Step 5: Solve for x
    x = 7,442,805.43/2,871.36
  6. Step 6: Final answer
    x = 2,592.08

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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.