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Finding the Fourth Proportional to 3,464.34, 4,780.74 and 1,972.26

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Solution

The fourth proportional to 3,464.34, 4,780.74 and 1,972.26 is: 2,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.34 : 4,780.74 = 1,972.26 : x
  2. Step 2: Convert to fraction form
    3,464.34/4,780.74 = 1,972.26/x
  3. Step 3: Cross multiply
    3,464.34x = 4,780.74 × 1,972.26
  4. Step 4: Simplify right side
    3,464.34x = 9,428,862.27
  5. Step 5: Solve for x
    x = 9,428,862.27/3,464.34
  6. Step 6: Final answer
    x = 2,721.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.