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Finding the Fourth Proportional to 3,232.49, 4,459.76 and 1,973.09

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Solution

The fourth proportional to 3,232.49, 4,459.76 and 1,973.09 is: 2,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.49 : 4,459.76 = 1,973.09 : x
  2. Step 2: Convert to fraction form
    3,232.49/4,459.76 = 1,973.09/x
  3. Step 3: Cross multiply
    3,232.49x = 4,459.76 × 1,973.09
  4. Step 4: Simplify right side
    3,232.49x = 8,799,475.69
  5. Step 5: Solve for x
    x = 8,799,475.69/3,232.49
  6. Step 6: Final answer
    x = 2,722.20

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1.5x scale

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.