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Finding the Fourth Proportional to 1,574.71, 2,173.57 and 911.86

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Solution

The fourth proportional to 1,574.71, 2,173.57 and 911.86 is: 1,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.71 : 2,173.57 = 911.86 : x
  2. Step 2: Convert to fraction form
    1,574.71/2,173.57 = 911.86/x
  3. Step 3: Cross multiply
    1,574.71x = 2,173.57 × 911.86
  4. Step 4: Simplify right side
    1,574.71x = 1,981,983.83
  5. Step 5: Solve for x
    x = 1,981,983.83/1,574.71
  6. Step 6: Final answer
    x = 1,258.64

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