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Finding the Fourth Proportional to 3,143.88, 4,715.10 and 1,413

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Solution

The fourth proportional to 3,143.88, 4,715.10 and 1,413 is: 2,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.88 : 4,715.10 = 1,413 : x
  2. Step 2: Convert to fraction form
    3,143.88/4,715.10 = 1,413/x
  3. Step 3: Cross multiply
    3,143.88x = 4,715.10 × 1,413
  4. Step 4: Simplify right side
    3,143.88x = 6,662,436.30
  5. Step 5: Solve for x
    x = 6,662,436.30/3,143.88
  6. Step 6: Final answer
    x = 2,119.18

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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.