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Finding the Fourth Proportional to 1,451.43, 2,001.92 and 920.48

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Solution

The fourth proportional to 1,451.43, 2,001.92 and 920.48 is: 1,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.43 : 2,001.92 = 920.48 : x
  2. Step 2: Convert to fraction form
    1,451.43/2,001.92 = 920.48/x
  3. Step 3: Cross multiply
    1,451.43x = 2,001.92 × 920.48
  4. Step 4: Simplify right side
    1,451.43x = 1,842,712.71
  5. Step 5: Solve for x
    x = 1,842,712.71/1,451.43
  6. Step 6: Final answer
    x = 1,269.58

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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.