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Finding the Fourth Proportional to 1,652.81, 2,474.35 and 1,103.63

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Solution

The fourth proportional to 1,652.81, 2,474.35 and 1,103.63 is: 1,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.81 : 2,474.35 = 1,103.63 : x
  2. Step 2: Convert to fraction form
    1,652.81/2,474.35 = 1,103.63/x
  3. Step 3: Cross multiply
    1,652.81x = 2,474.35 × 1,103.63
  4. Step 4: Simplify right side
    1,652.81x = 2,730,766.89
  5. Step 5: Solve for x
    x = 2,730,766.89/1,652.81
  6. Step 6: Final answer
    x = 1,652.20

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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.