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Finding the Fourth Proportional to 2,973.40, 4,454.70 and 2,422.60

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Solution

The fourth proportional to 2,973.40, 4,454.70 and 2,422.60 is: 3,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.40 : 4,454.70 = 2,422.60 : x
  2. Step 2: Convert to fraction form
    2,973.40/4,454.70 = 2,422.60/x
  3. Step 3: Cross multiply
    2,973.40x = 4,454.70 × 2,422.60
  4. Step 4: Simplify right side
    2,973.40x = 10,791,956.22
  5. Step 5: Solve for x
    x = 10,791,956.22/2,973.40
  6. Step 6: Final answer
    x = 3,629.50

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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.