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Finding the Fourth Proportional to 2,376.78, 3,565.58 and 816.41

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Solution

The fourth proportional to 2,376.78, 3,565.58 and 816.41 is: 1,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.78 : 3,565.58 = 816.41 : x
  2. Step 2: Convert to fraction form
    2,376.78/3,565.58 = 816.41/x
  3. Step 3: Cross multiply
    2,376.78x = 3,565.58 × 816.41
  4. Step 4: Simplify right side
    2,376.78x = 2,910,953.26
  5. Step 5: Solve for x
    x = 2,910,953.26/2,376.78
  6. Step 6: Final answer
    x = 1,224.75

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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.