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Finding the Fourth Proportional to 2,973.40, 4,460.10 and 2,195.80

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Solution

The fourth proportional to 2,973.40, 4,460.10 and 2,195.80 is: 3,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.40 : 4,460.10 = 2,195.80 : x
  2. Step 2: Convert to fraction form
    2,973.40/4,460.10 = 2,195.80/x
  3. Step 3: Cross multiply
    2,973.40x = 4,460.10 × 2,195.80
  4. Step 4: Simplify right side
    2,973.40x = 9,793,487.58
  5. Step 5: Solve for x
    x = 9,793,487.58/2,973.40
  6. Step 6: Final answer
    x = 3,293.70

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1.5x scale

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.