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Finding the Fourth Proportional to 2,376.63, 3,565.00 and 733.18

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Solution

The fourth proportional to 2,376.63, 3,565.00 and 733.18 is: 1,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.63 : 3,565.00 = 733.18 : x
  2. Step 2: Convert to fraction form
    2,376.63/3,565.00 = 733.18/x
  3. Step 3: Cross multiply
    2,376.63x = 3,565.00 × 733.18
  4. Step 4: Simplify right side
    2,376.63x = 2,613,775.95
  5. Step 5: Solve for x
    x = 2,613,775.95/2,376.63
  6. Step 6: Final answer
    x = 1,099.78

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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.