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Finding the Fourth Proportional to 2,242.61, 3,092.33 and 1,534.57

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Solution

The fourth proportional to 2,242.61, 3,092.33 and 1,534.57 is: 2,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.61 : 3,092.33 = 1,534.57 : x
  2. Step 2: Convert to fraction form
    2,242.61/3,092.33 = 1,534.57/x
  3. Step 3: Cross multiply
    2,242.61x = 3,092.33 × 1,534.57
  4. Step 4: Simplify right side
    2,242.61x = 4,745,393.02
  5. Step 5: Solve for x
    x = 4,745,393.02/2,242.61
  6. Step 6: Final answer
    x = 2,116.01

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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.