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Finding the Fourth Proportional to 3,295.66, 4,546.71 and 1,898.14

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Solution

The fourth proportional to 3,295.66, 4,546.71 and 1,898.14 is: 2,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.66 : 4,546.71 = 1,898.14 : x
  2. Step 2: Convert to fraction form
    3,295.66/4,546.71 = 1,898.14/x
  3. Step 3: Cross multiply
    3,295.66x = 4,546.71 × 1,898.14
  4. Step 4: Simplify right side
    3,295.66x = 8,630,292.12
  5. Step 5: Solve for x
    x = 8,630,292.12/3,295.66
  6. Step 6: Final answer
    x = 2,618.68

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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.