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Finding the Fourth Proportional to 1,657.41, 2,287.17 and 911.40

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Solution

The fourth proportional to 1,657.41, 2,287.17 and 911.40 is: 1,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.41 : 2,287.17 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,657.41/2,287.17 = 911.40/x
  3. Step 3: Cross multiply
    1,657.41x = 2,287.17 × 911.40
  4. Step 4: Simplify right side
    1,657.41x = 2,084,526.74
  5. Step 5: Solve for x
    x = 2,084,526.74/1,657.41
  6. Step 6: Final answer
    x = 1,257.70

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1.5x scale

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.