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Finding the Fourth Proportional to 2,871.78, 4,300.35 and 2,252.10

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Solution

The fourth proportional to 2,871.78, 4,300.35 and 2,252.10 is: 3,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.78 : 4,300.35 = 2,252.10 : x
  2. Step 2: Convert to fraction form
    2,871.78/4,300.35 = 2,252.10/x
  3. Step 3: Cross multiply
    2,871.78x = 4,300.35 × 2,252.10
  4. Step 4: Simplify right side
    2,871.78x = 9,684,818.24
  5. Step 5: Solve for x
    x = 9,684,818.24/2,871.78
  6. Step 6: Final answer
    x = 3,372.41

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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.