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Finding the Fourth Proportional to 1,652.58, 2,280.66 and 1,092.66

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Solution

The fourth proportional to 1,652.58, 2,280.66 and 1,092.66 is: 1,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.58 : 2,280.66 = 1,092.66 : x
  2. Step 2: Convert to fraction form
    1,652.58/2,280.66 = 1,092.66/x
  3. Step 3: Cross multiply
    1,652.58x = 2,280.66 × 1,092.66
  4. Step 4: Simplify right side
    1,652.58x = 2,491,985.96
  5. Step 5: Solve for x
    x = 2,491,985.96/1,652.58
  6. Step 6: Final answer
    x = 1,507.94

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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.