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Finding the Fourth Proportional to 1,711.04, 2,566.97 and 541.16

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Solution

The fourth proportional to 1,711.04, 2,566.97 and 541.16 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.04 : 2,566.97 = 541.16 : x
  2. Step 2: Convert to fraction form
    1,711.04/2,566.97 = 541.16/x
  3. Step 3: Cross multiply
    1,711.04x = 2,566.97 × 541.16
  4. Step 4: Simplify right side
    1,711.04x = 1,389,145.20
  5. Step 5: Solve for x
    x = 1,389,145.20/1,711.04
  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.