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Finding the Fourth Proportional to 2,645.64, 3,972.06 and 1,348.04

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Solution

The fourth proportional to 2,645.64, 3,972.06 and 1,348.04 is: 2,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.64 : 3,972.06 = 1,348.04 : x
  2. Step 2: Convert to fraction form
    2,645.64/3,972.06 = 1,348.04/x
  3. Step 3: Cross multiply
    2,645.64x = 3,972.06 × 1,348.04
  4. Step 4: Simplify right side
    2,645.64x = 5,354,495.76
  5. Step 5: Solve for x
    x = 5,354,495.76/2,645.64
  6. Step 6: Final answer
    x = 2,023.89

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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.