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Finding the Fourth Proportional to 2,820.40, 4,230.60 and 970.90

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Solution

The fourth proportional to 2,820.40, 4,230.60 and 970.90 is: 1,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.40 : 4,230.60 = 970.90 : x
  2. Step 2: Convert to fraction form
    2,820.40/4,230.60 = 970.90/x
  3. Step 3: Cross multiply
    2,820.40x = 4,230.60 × 970.90
  4. Step 4: Simplify right side
    2,820.40x = 4,107,489.54
  5. Step 5: Solve for x
    x = 4,107,489.54/2,820.40
  6. Step 6: Final answer
    x = 1,456.35

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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.