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Finding the Fourth Proportional to 1,788.05, 2,681.19 and 747.74

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Solution

The fourth proportional to 1,788.05, 2,681.19 and 747.74 is: 1,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.05 : 2,681.19 = 747.74 : x
  2. Step 2: Convert to fraction form
    1,788.05/2,681.19 = 747.74/x
  3. Step 3: Cross multiply
    1,788.05x = 2,681.19 × 747.74
  4. Step 4: Simplify right side
    1,788.05x = 2,004,819.60
  5. Step 5: Solve for x
    x = 2,004,819.60/1,788.05
  6. Step 6: Final answer
    x = 1,121.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.