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Finding the Fourth Proportional to 2,582.38, 3,873.57 and 1,816.30

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Solution

The fourth proportional to 2,582.38, 3,873.57 and 1,816.30 is: 2,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.38 : 3,873.57 = 1,816.30 : x
  2. Step 2: Convert to fraction form
    2,582.38/3,873.57 = 1,816.30/x
  3. Step 3: Cross multiply
    2,582.38x = 3,873.57 × 1,816.30
  4. Step 4: Simplify right side
    2,582.38x = 7,035,565.19
  5. Step 5: Solve for x
    x = 7,035,565.19/2,582.38
  6. Step 6: Final answer
    x = 2,724.45

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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.