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Finding the Fourth Proportional to 2,874.42, 4,307.49 and 1,411.92

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Solution

The fourth proportional to 2,874.42, 4,307.49 and 1,411.92 is: 2,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.42 : 4,307.49 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    2,874.42/4,307.49 = 1,411.92/x
  3. Step 3: Cross multiply
    2,874.42x = 4,307.49 × 1,411.92
  4. Step 4: Simplify right side
    2,874.42x = 6,081,831.28
  5. Step 5: Solve for x
    x = 6,081,831.28/2,874.42
  6. Step 6: Final answer
    x = 2,115.85

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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.