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Finding the Fourth Proportional to 2,948.51, 4,069.02 and 1,604.20

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Solution

The fourth proportional to 2,948.51, 4,069.02 and 1,604.20 is: 2,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.51 : 4,069.02 = 1,604.20 : x
  2. Step 2: Convert to fraction form
    2,948.51/4,069.02 = 1,604.20/x
  3. Step 3: Cross multiply
    2,948.51x = 4,069.02 × 1,604.20
  4. Step 4: Simplify right side
    2,948.51x = 6,527,510.09
  5. Step 5: Solve for x
    x = 6,527,510.09/2,948.51
  6. Step 6: Final answer
    x = 2,213.83

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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.