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Finding the Fourth Proportional to 1,652.82, 2,281.02 and 1,129.56

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Solution

The fourth proportional to 1,652.82, 2,281.02 and 1,129.56 is: 1,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.82 : 2,281.02 = 1,129.56 : x
  2. Step 2: Convert to fraction form
    1,652.82/2,281.02 = 1,129.56/x
  3. Step 3: Cross multiply
    1,652.82x = 2,281.02 × 1,129.56
  4. Step 4: Simplify right side
    1,652.82x = 2,576,548.95
  5. Step 5: Solve for x
    x = 2,576,548.95/1,652.82
  6. Step 6: Final answer
    x = 1,558.88

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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.