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Finding the Fourth Proportional to 2,872.28, 3,962.18 and 1,848.50

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Solution

The fourth proportional to 2,872.28, 3,962.18 and 1,848.50 is: 2,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.28 : 3,962.18 = 1,848.50 : x
  2. Step 2: Convert to fraction form
    2,872.28/3,962.18 = 1,848.50/x
  3. Step 3: Cross multiply
    2,872.28x = 3,962.18 × 1,848.50
  4. Step 4: Simplify right side
    2,872.28x = 7,324,080.49
  5. Step 5: Solve for x
    x = 7,324,080.49/2,872.28
  6. Step 6: Final answer
    x = 2,549.92

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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.