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Finding the Fourth Proportional to 1,788.75, 2,684.83 and 748.47

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Solution

The fourth proportional to 1,788.75, 2,684.83 and 748.47 is: 1,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.75 : 2,684.83 = 748.47 : x
  2. Step 2: Convert to fraction form
    1,788.75/2,684.83 = 748.47/x
  3. Step 3: Cross multiply
    1,788.75x = 2,684.83 × 748.47
  4. Step 4: Simplify right side
    1,788.75x = 2,009,514.71
  5. Step 5: Solve for x
    x = 2,009,514.71/1,788.75
  6. Step 6: Final answer
    x = 1,123.42

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