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Finding the Fourth Proportional to 3,257.84, 4,495.74 and 2,078.66

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Solution

The fourth proportional to 3,257.84, 4,495.74 and 2,078.66 is: 2,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.84 : 4,495.74 = 2,078.66 : x
  2. Step 2: Convert to fraction form
    3,257.84/4,495.74 = 2,078.66/x
  3. Step 3: Cross multiply
    3,257.84x = 4,495.74 × 2,078.66
  4. Step 4: Simplify right side
    3,257.84x = 9,345,114.91
  5. Step 5: Solve for x
    x = 9,345,114.91/3,257.84
  6. Step 6: Final answer
    x = 2,868.50

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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.