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Finding the Fourth Proportional to 2,064.32, 2,848.74 and 1,278.44

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Solution

The fourth proportional to 2,064.32, 2,848.74 and 1,278.44 is: 1,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.32 : 2,848.74 = 1,278.44 : x
  2. Step 2: Convert to fraction form
    2,064.32/2,848.74 = 1,278.44/x
  3. Step 3: Cross multiply
    2,064.32x = 2,848.74 × 1,278.44
  4. Step 4: Simplify right side
    2,064.32x = 3,641,943.17
  5. Step 5: Solve for x
    x = 3,641,943.17/2,064.32
  6. Step 6: Final answer
    x = 1,764.23

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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.