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Finding the Fourth Proportional to 1,574.86, 2,173.17 and 911.75

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Solution

The fourth proportional to 1,574.86, 2,173.17 and 911.75 is: 1,258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.86 : 2,173.17 = 911.75 : x
  2. Step 2: Convert to fraction form
    1,574.86/2,173.17 = 911.75/x
  3. Step 3: Cross multiply
    1,574.86x = 2,173.17 × 911.75
  4. Step 4: Simplify right side
    1,574.86x = 1,981,387.75
  5. Step 5: Solve for x
    x = 1,981,387.75/1,574.86
  6. Step 6: Final answer
    x = 1,258.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.