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Finding the Fourth Proportional to 2,521.62, 3,477.92 and 1,775.78

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Solution

The fourth proportional to 2,521.62, 3,477.92 and 1,775.78 is: 2,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.62 : 3,477.92 = 1,775.78 : x
  2. Step 2: Convert to fraction form
    2,521.62/3,477.92 = 1,775.78/x
  3. Step 3: Cross multiply
    2,521.62x = 3,477.92 × 1,775.78
  4. Step 4: Simplify right side
    2,521.62x = 6,176,020.78
  5. Step 5: Solve for x
    x = 6,176,020.78/2,521.62
  6. Step 6: Final answer
    x = 2,449.23

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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.