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Finding the Fourth Proportional to 1,809.24, 2,713.95 and 576.75

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Solution

The fourth proportional to 1,809.24, 2,713.95 and 576.75 is: 865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.24 : 2,713.95 = 576.75 : x
  2. Step 2: Convert to fraction form
    1,809.24/2,713.95 = 576.75/x
  3. Step 3: Cross multiply
    1,809.24x = 2,713.95 × 576.75
  4. Step 4: Simplify right side
    1,809.24x = 1,565,270.66
  5. Step 5: Solve for x
    x = 1,565,270.66/1,809.24
  6. Step 6: Final answer
    x = 865.15

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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.