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Finding the Fourth Proportional to 2,360.96, 3,541.20 and 717.52

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Solution

The fourth proportional to 2,360.96, 3,541.20 and 717.52 is: 1,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.96 : 3,541.20 = 717.52 : x
  2. Step 2: Convert to fraction form
    2,360.96/3,541.20 = 717.52/x
  3. Step 3: Cross multiply
    2,360.96x = 3,541.20 × 717.52
  4. Step 4: Simplify right side
    2,360.96x = 2,540,864.12
  5. Step 5: Solve for x
    x = 2,540,864.12/2,360.96
  6. Step 6: Final answer
    x = 1,076.20

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Why These Related Problems?

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