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Finding the Fourth Proportional to 3,214.76, 4,822.88 and 1,134.92

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Solution

The fourth proportional to 3,214.76, 4,822.88 and 1,134.92 is: 1,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.76 : 4,822.88 = 1,134.92 : x
  2. Step 2: Convert to fraction form
    3,214.76/4,822.88 = 1,134.92/x
  3. Step 3: Cross multiply
    3,214.76x = 4,822.88 × 1,134.92
  4. Step 4: Simplify right side
    3,214.76x = 5,473,582.97
  5. Step 5: Solve for x
    x = 5,473,582.97/3,214.76
  6. Step 6: Final answer
    x = 1,702.64

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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.