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Finding the Fourth Proportional to 3,284.64, 4,531.41 and 2,024.28

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Solution

The fourth proportional to 3,284.64, 4,531.41 and 2,024.28 is: 2,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.64 : 4,531.41 = 2,024.28 : x
  2. Step 2: Convert to fraction form
    3,284.64/4,531.41 = 2,024.28/x
  3. Step 3: Cross multiply
    3,284.64x = 4,531.41 × 2,024.28
  4. Step 4: Simplify right side
    3,284.64x = 9,172,842.63
  5. Step 5: Solve for x
    x = 9,172,842.63/3,284.64
  6. Step 6: Final answer
    x = 2,792.65

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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.