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Finding the Fourth Proportional to 2,376.56, 3,565.31 and 816.19

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Solution

The fourth proportional to 2,376.56, 3,565.31 and 816.19 is: 1,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.56 : 3,565.31 = 816.19 : x
  2. Step 2: Convert to fraction form
    2,376.56/3,565.31 = 816.19/x
  3. Step 3: Cross multiply
    2,376.56x = 3,565.31 × 816.19
  4. Step 4: Simplify right side
    2,376.56x = 2,909,954.58
  5. Step 5: Solve for x
    x = 2,909,954.58/2,376.56
  6. Step 6: Final answer
    x = 1,224.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.