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Finding the Fourth Proportional to 2,102.81, 3,154.78 and 1,873.28

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Solution

The fourth proportional to 2,102.81, 3,154.78 and 1,873.28 is: 2,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.81 : 3,154.78 = 1,873.28 : x
  2. Step 2: Convert to fraction form
    2,102.81/3,154.78 = 1,873.28/x
  3. Step 3: Cross multiply
    2,102.81x = 3,154.78 × 1,873.28
  4. Step 4: Simplify right side
    2,102.81x = 5,909,778.76
  5. Step 5: Solve for x
    x = 5,909,778.76/2,102.81
  6. Step 6: Final answer
    x = 2,810.42

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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.