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Finding the Fourth Proportional to 2,907.83, 4,363.61 and 1,523.68

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Solution

The fourth proportional to 2,907.83, 4,363.61 and 1,523.68 is: 2,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.83 : 4,363.61 = 1,523.68 : x
  2. Step 2: Convert to fraction form
    2,907.83/4,363.61 = 1,523.68/x
  3. Step 3: Cross multiply
    2,907.83x = 4,363.61 × 1,523.68
  4. Step 4: Simplify right side
    2,907.83x = 6,648,726.76
  5. Step 5: Solve for x
    x = 6,648,726.76/2,907.83
  6. Step 6: Final answer
    x = 2,286.49

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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.