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Finding the Fourth Proportional to 2,360.95, 3,541.43 and 717.51

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Solution

The fourth proportional to 2,360.95, 3,541.43 and 717.51 is: 1,076.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.95 : 3,541.43 = 717.51 : x
  2. Step 2: Convert to fraction form
    2,360.95/3,541.43 = 717.51/x
  3. Step 3: Cross multiply
    2,360.95x = 3,541.43 × 717.51
  4. Step 4: Simplify right side
    2,360.95x = 2,541,011.44
  5. Step 5: Solve for x
    x = 2,541,011.44/2,360.95
  6. Step 6: Final answer
    x = 1,076.27

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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.