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Finding the Fourth Proportional to 3,147.76, 4,346.58 and 1,970.80

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Solution

The fourth proportional to 3,147.76, 4,346.58 and 1,970.80 is: 2,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.76 : 4,346.58 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    3,147.76/4,346.58 = 1,970.80/x
  3. Step 3: Cross multiply
    3,147.76x = 4,346.58 × 1,970.80
  4. Step 4: Simplify right side
    3,147.76x = 8,566,239.86
  5. Step 5: Solve for x
    x = 8,566,239.86/3,147.76
  6. Step 6: Final answer
    x = 2,721.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.