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Finding the Fourth Proportional to 2,001.73, 2,762.13 and 1,117.57

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Solution

The fourth proportional to 2,001.73, 2,762.13 and 1,117.57 is: 1,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.73 : 2,762.13 = 1,117.57 : x
  2. Step 2: Convert to fraction form
    2,001.73/2,762.13 = 1,117.57/x
  3. Step 3: Cross multiply
    2,001.73x = 2,762.13 × 1,117.57
  4. Step 4: Simplify right side
    2,001.73x = 3,086,873.62
  5. Step 5: Solve for x
    x = 3,086,873.62/2,001.73
  6. Step 6: Final answer
    x = 1,542.10

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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.