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Finding the Fourth Proportional to 1,871.10, 2,575.80 and 1,652.40

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Solution

The fourth proportional to 1,871.10, 2,575.80 and 1,652.40 is: 2,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.10 : 2,575.80 = 1,652.40 : x
  2. Step 2: Convert to fraction form
    1,871.10/2,575.80 = 1,652.40/x
  3. Step 3: Cross multiply
    1,871.10x = 2,575.80 × 1,652.40
  4. Step 4: Simplify right side
    1,871.10x = 4,256,251.92
  5. Step 5: Solve for x
    x = 4,256,251.92/1,871.10
  6. Step 6: Final answer
    x = 2,274.73

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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.