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Finding the Fourth Proportional to 2,254.68, 3,378.15 and 2,026.42

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Solution

The fourth proportional to 2,254.68, 3,378.15 and 2,026.42 is: 3,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.68 : 3,378.15 = 2,026.42 : x
  2. Step 2: Convert to fraction form
    2,254.68/3,378.15 = 2,026.42/x
  3. Step 3: Cross multiply
    2,254.68x = 3,378.15 × 2,026.42
  4. Step 4: Simplify right side
    2,254.68x = 6,845,542.28
  5. Step 5: Solve for x
    x = 6,845,542.28/2,254.68
  6. Step 6: Final answer
    x = 3,036.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.