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Finding the Fourth Proportional to 3,149.08, 4,345.24 and 1,822.90

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Solution

The fourth proportional to 3,149.08, 4,345.24 and 1,822.90 is: 2,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.08 : 4,345.24 = 1,822.90 : x
  2. Step 2: Convert to fraction form
    3,149.08/4,345.24 = 1,822.90/x
  3. Step 3: Cross multiply
    3,149.08x = 4,345.24 × 1,822.90
  4. Step 4: Simplify right side
    3,149.08x = 7,920,938.00
  5. Step 5: Solve for x
    x = 7,920,938.00/3,149.08
  6. Step 6: Final answer
    x = 2,515.32

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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.