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Finding the Fourth Proportional to 2,948.71, 4,069.19 and 1,604.31

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Solution

The fourth proportional to 2,948.71, 4,069.19 and 1,604.31 is: 2,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.71 : 4,069.19 = 1,604.31 : x
  2. Step 2: Convert to fraction form
    2,948.71/4,069.19 = 1,604.31/x
  3. Step 3: Cross multiply
    2,948.71x = 4,069.19 × 1,604.31
  4. Step 4: Simplify right side
    2,948.71x = 6,528,234.19
  5. Step 5: Solve for x
    x = 6,528,234.19/2,948.71
  6. Step 6: Final answer
    x = 2,213.93

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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.