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Finding the Fourth Proportional to 1,657.52, 2,287.44 and 958.90

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Solution

The fourth proportional to 1,657.52, 2,287.44 and 958.90 is: 1,323.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.52 : 2,287.44 = 958.90 : x
  2. Step 2: Convert to fraction form
    1,657.52/2,287.44 = 958.90/x
  3. Step 3: Cross multiply
    1,657.52x = 2,287.44 × 958.90
  4. Step 4: Simplify right side
    1,657.52x = 2,193,426.22
  5. Step 5: Solve for x
    x = 2,193,426.22/1,657.52
  6. Step 6: Final answer
    x = 1,323.32

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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.