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Finding the Fourth Proportional to 2,034.47, 3,036.98 and 1,788.44

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Solution

The fourth proportional to 2,034.47, 3,036.98 and 1,788.44 is: 2,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.47 : 3,036.98 = 1,788.44 : x
  2. Step 2: Convert to fraction form
    2,034.47/3,036.98 = 1,788.44/x
  3. Step 3: Cross multiply
    2,034.47x = 3,036.98 × 1,788.44
  4. Step 4: Simplify right side
    2,034.47x = 5,431,432.38
  5. Step 5: Solve for x
    x = 5,431,432.38/2,034.47
  6. Step 6: Final answer
    x = 2,669.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.