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Finding the Fourth Proportional to 1,973.62, 2,957.19 and 1,454.68

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Solution

The fourth proportional to 1,973.62, 2,957.19 and 1,454.68 is: 2,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.62 : 2,957.19 = 1,454.68 : x
  2. Step 2: Convert to fraction form
    1,973.62/2,957.19 = 1,454.68/x
  3. Step 3: Cross multiply
    1,973.62x = 2,957.19 × 1,454.68
  4. Step 4: Simplify right side
    1,973.62x = 4,301,765.15
  5. Step 5: Solve for x
    x = 4,301,765.15/1,973.62
  6. Step 6: Final answer
    x = 2,179.63

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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.