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Finding the Fourth Proportional to 2,113.02, 3,169.68 and 652.20

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Solution

The fourth proportional to 2,113.02, 3,169.68 and 652.20 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.02 : 3,169.68 = 652.20 : x
  2. Step 2: Convert to fraction form
    2,113.02/3,169.68 = 652.20/x
  3. Step 3: Cross multiply
    2,113.02x = 3,169.68 × 652.20
  4. Step 4: Simplify right side
    2,113.02x = 2,067,265.30
  5. Step 5: Solve for x
    x = 2,067,265.30/2,113.02
  6. Step 6: Final answer
    x = 978.35

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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.