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Finding the Fourth Proportional to 3,207.40, 4,810.80 and 898.84

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Solution

The fourth proportional to 3,207.40, 4,810.80 and 898.84 is: 1,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.40 : 4,810.80 = 898.84 : x
  2. Step 2: Convert to fraction form
    3,207.40/4,810.80 = 898.84/x
  3. Step 3: Cross multiply
    3,207.40x = 4,810.80 × 898.84
  4. Step 4: Simplify right side
    3,207.40x = 4,324,139.47
  5. Step 5: Solve for x
    x = 4,324,139.47/3,207.40
  6. Step 6: Final answer
    x = 1,348.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.