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Finding the Fourth Proportional to 1,652.30, 2,282.04 and 1,283.72

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Solution

The fourth proportional to 1,652.30, 2,282.04 and 1,283.72 is: 1,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.30 : 2,282.04 = 1,283.72 : x
  2. Step 2: Convert to fraction form
    1,652.30/2,282.04 = 1,283.72/x
  3. Step 3: Cross multiply
    1,652.30x = 2,282.04 × 1,283.72
  4. Step 4: Simplify right side
    1,652.30x = 2,929,500.39
  5. Step 5: Solve for x
    x = 2,929,500.39/1,652.30
  6. Step 6: Final answer
    x = 1,772.98

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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.