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Finding the Fourth Proportional to 1,657.77, 2,287.71 and 911.71

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Solution

The fourth proportional to 1,657.77, 2,287.71 and 911.71 is: 1,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.77 : 2,287.71 = 911.71 : x
  2. Step 2: Convert to fraction form
    1,657.77/2,287.71 = 911.71/x
  3. Step 3: Cross multiply
    1,657.77x = 2,287.71 × 911.71
  4. Step 4: Simplify right side
    1,657.77x = 2,085,722.36
  5. Step 5: Solve for x
    x = 2,085,722.36/1,657.77
  6. Step 6: Final answer
    x = 1,258.15

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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.