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Finding the Fourth Proportional to 2,402.76, 3,599.47 and 1,578.53

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Solution

The fourth proportional to 2,402.76, 3,599.47 and 1,578.53 is: 2,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.76 : 3,599.47 = 1,578.53 : x
  2. Step 2: Convert to fraction form
    2,402.76/3,599.47 = 1,578.53/x
  3. Step 3: Cross multiply
    2,402.76x = 3,599.47 × 1,578.53
  4. Step 4: Simplify right side
    2,402.76x = 5,681,882.35
  5. Step 5: Solve for x
    x = 5,681,882.35/2,402.76
  6. Step 6: Final answer
    x = 2,364.73

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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.