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Finding the Fourth Proportional to 1,773.88, 2,660.74 and 541.26

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Solution

The fourth proportional to 1,773.88, 2,660.74 and 541.26 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.88 : 2,660.74 = 541.26 : x
  2. Step 2: Convert to fraction form
    1,773.88/2,660.74 = 541.26/x
  3. Step 3: Cross multiply
    1,773.88x = 2,660.74 × 541.26
  4. Step 4: Simplify right side
    1,773.88x = 1,440,152.13
  5. Step 5: Solve for x
    x = 1,440,152.13/1,773.88
  6. Step 6: Final answer
    x = 811.87

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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.