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Finding the Fourth Proportional to 3,232.90, 4,461.98 and 1,906.53

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Solution

The fourth proportional to 3,232.90, 4,461.98 and 1,906.53 is: 2,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.90 : 4,461.98 = 1,906.53 : x
  2. Step 2: Convert to fraction form
    3,232.90/4,461.98 = 1,906.53/x
  3. Step 3: Cross multiply
    3,232.90x = 4,461.98 × 1,906.53
  4. Step 4: Simplify right side
    3,232.90x = 8,506,898.73
  5. Step 5: Solve for x
    x = 8,506,898.73/3,232.90
  6. Step 6: Final answer
    x = 2,631.35

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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.