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Finding the Fourth Proportional to 1,604.47, 2,401.66 and 1,020.13

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Solution

The fourth proportional to 1,604.47, 2,401.66 and 1,020.13 is: 1,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.47 : 2,401.66 = 1,020.13 : x
  2. Step 2: Convert to fraction form
    1,604.47/2,401.66 = 1,020.13/x
  3. Step 3: Cross multiply
    1,604.47x = 2,401.66 × 1,020.13
  4. Step 4: Simplify right side
    1,604.47x = 2,450,007.97
  5. Step 5: Solve for x
    x = 2,450,007.97/1,604.47
  6. Step 6: Final answer
    x = 1,526.99

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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.