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Finding the Fourth Proportional to 1,541.57, 2,311.34 and 719.82

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Solution

The fourth proportional to 1,541.57, 2,311.34 and 719.82 is: 1,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.57 : 2,311.34 = 719.82 : x
  2. Step 2: Convert to fraction form
    1,541.57/2,311.34 = 719.82/x
  3. Step 3: Cross multiply
    1,541.57x = 2,311.34 × 719.82
  4. Step 4: Simplify right side
    1,541.57x = 1,663,745.16
  5. Step 5: Solve for x
    x = 1,663,745.16/1,541.57
  6. Step 6: Final answer
    x = 1,079.26

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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.