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Finding the Fourth Proportional to 4,898.66, 7,348.02 and 1,200.86

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Solution

The fourth proportional to 4,898.66, 7,348.02 and 1,200.86 is: 1,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.66 : 7,348.02 = 1,200.86 : x
  2. Step 2: Convert to fraction form
    4,898.66/7,348.02 = 1,200.86/x
  3. Step 3: Cross multiply
    4,898.66x = 7,348.02 × 1,200.86
  4. Step 4: Simplify right side
    4,898.66x = 8,823,943.30
  5. Step 5: Solve for x
    x = 8,823,943.30/4,898.66
  6. Step 6: Final answer
    x = 1,801.30

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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.