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Finding the Fourth Proportional to 2,342.66, 3,494.15 and 2,032.04

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Solution

The fourth proportional to 2,342.66, 3,494.15 and 2,032.04 is: 3,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.66 : 3,494.15 = 2,032.04 : x
  2. Step 2: Convert to fraction form
    2,342.66/3,494.15 = 2,032.04/x
  3. Step 3: Cross multiply
    2,342.66x = 3,494.15 × 2,032.04
  4. Step 4: Simplify right side
    2,342.66x = 7,100,250.54
  5. Step 5: Solve for x
    x = 7,100,250.54/2,342.66
  6. Step 6: Final answer
    x = 3,030.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.