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Finding the Fourth Proportional to 3,065.78, 4,232.04 and 2,278.46

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Solution

The fourth proportional to 3,065.78, 4,232.04 and 2,278.46 is: 3,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.78 : 4,232.04 = 2,278.46 : x
  2. Step 2: Convert to fraction form
    3,065.78/4,232.04 = 2,278.46/x
  3. Step 3: Cross multiply
    3,065.78x = 4,232.04 × 2,278.46
  4. Step 4: Simplify right side
    3,065.78x = 9,642,533.86
  5. Step 5: Solve for x
    x = 9,642,533.86/3,065.78
  6. Step 6: Final answer
    x = 3,145.21

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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.