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Finding the Fourth Proportional to 1,653.12, 2,280.06 and 1,092.60

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Solution

The fourth proportional to 1,653.12, 2,280.06 and 1,092.60 is: 1,506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.12 : 2,280.06 = 1,092.60 : x
  2. Step 2: Convert to fraction form
    1,653.12/2,280.06 = 1,092.60/x
  3. Step 3: Cross multiply
    1,653.12x = 2,280.06 × 1,092.60
  4. Step 4: Simplify right side
    1,653.12x = 2,491,193.56
  5. Step 5: Solve for x
    x = 2,491,193.56/1,653.12
  6. Step 6: Final answer
    x = 1,506.96

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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.