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Finding the Fourth Proportional to 2,360.42, 3,540.85 and 1,044.00

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Solution

The fourth proportional to 2,360.42, 3,540.85 and 1,044.00 is: 1,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.42 : 3,540.85 = 1,044.00 : x
  2. Step 2: Convert to fraction form
    2,360.42/3,540.85 = 1,044.00/x
  3. Step 3: Cross multiply
    2,360.42x = 3,540.85 × 1,044.00
  4. Step 4: Simplify right side
    2,360.42x = 3,696,634.83
  5. Step 5: Solve for x
    x = 3,696,634.83/2,360.42
  6. Step 6: Final answer
    x = 1,566.09

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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.