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Finding the Fourth Proportional to 2,473.20, 3,702.60 and 2,185.20

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Solution

The fourth proportional to 2,473.20, 3,702.60 and 2,185.20 is: 3,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.20 : 3,702.60 = 2,185.20 : x
  2. Step 2: Convert to fraction form
    2,473.20/3,702.60 = 2,185.20/x
  3. Step 3: Cross multiply
    2,473.20x = 3,702.60 × 2,185.20
  4. Step 4: Simplify right side
    2,473.20x = 8,090,921.52
  5. Step 5: Solve for x
    x = 8,090,921.52/2,473.20
  6. Step 6: Final answer
    x = 3,271.44

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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.