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Finding the Fourth Proportional to 2,801.76, 4,200.51 and 1,339.50

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Solution

The fourth proportional to 2,801.76, 4,200.51 and 1,339.50 is: 2,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.76 : 4,200.51 = 1,339.50 : x
  2. Step 2: Convert to fraction form
    2,801.76/4,200.51 = 1,339.50/x
  3. Step 3: Cross multiply
    2,801.76x = 4,200.51 × 1,339.50
  4. Step 4: Simplify right side
    2,801.76x = 5,626,583.15
  5. Step 5: Solve for x
    x = 5,626,583.15/2,801.76
  6. Step 6: Final answer
    x = 2,008.23

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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.