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Finding the Fourth Proportional to 2,446.76, 3,668.54 and 1,148.84

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Solution

The fourth proportional to 2,446.76, 3,668.54 and 1,148.84 is: 1,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.76 : 3,668.54 = 1,148.84 : x
  2. Step 2: Convert to fraction form
    2,446.76/3,668.54 = 1,148.84/x
  3. Step 3: Cross multiply
    2,446.76x = 3,668.54 × 1,148.84
  4. Step 4: Simplify right side
    2,446.76x = 4,214,565.49
  5. Step 5: Solve for x
    x = 4,214,565.49/2,446.76
  6. Step 6: Final answer
    x = 1,722.51

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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.