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Finding the Fourth Proportional to 2,023.20, 3,070.08 and 2,023.20

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Solution

The fourth proportional to 2,023.20, 3,070.08 and 2,023.20 is: 3,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.20 : 3,070.08 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    2,023.20/3,070.08 = 2,023.20/x
  3. Step 3: Cross multiply
    2,023.20x = 3,070.08 × 2,023.20
  4. Step 4: Simplify right side
    2,023.20x = 6,211,385.86
  5. Step 5: Solve for x
    x = 6,211,385.86/2,023.20
  6. Step 6: Final answer
    x = 3,070.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.