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Finding the Fourth Proportional to 2,802.72, 3,868.56 and 1,873.92

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Solution

The fourth proportional to 2,802.72, 3,868.56 and 1,873.92 is: 2,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.72 : 3,868.56 = 1,873.92 : x
  2. Step 2: Convert to fraction form
    2,802.72/3,868.56 = 1,873.92/x
  3. Step 3: Cross multiply
    2,802.72x = 3,868.56 × 1,873.92
  4. Step 4: Simplify right side
    2,802.72x = 7,249,371.96
  5. Step 5: Solve for x
    x = 7,249,371.96/2,802.72
  6. Step 6: Final answer
    x = 2,586.55

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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.