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Finding the Fourth Proportional to 2,278.01, 3,415.27 and 1,044.53

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Solution

The fourth proportional to 2,278.01, 3,415.27 and 1,044.53 is: 1,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.01 : 3,415.27 = 1,044.53 : x
  2. Step 2: Convert to fraction form
    2,278.01/3,415.27 = 1,044.53/x
  3. Step 3: Cross multiply
    2,278.01x = 3,415.27 × 1,044.53
  4. Step 4: Simplify right side
    2,278.01x = 3,567,357.90
  5. Step 5: Solve for x
    x = 3,567,357.90/2,278.01
  6. Step 6: Final answer
    x = 1,566.00

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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.