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Finding the Fourth Proportional to 2,321.90, 3,204.84 and 1,437.20

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Solution

The fourth proportional to 2,321.90, 3,204.84 and 1,437.20 is: 1,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.90 : 3,204.84 = 1,437.20 : x
  2. Step 2: Convert to fraction form
    2,321.90/3,204.84 = 1,437.20/x
  3. Step 3: Cross multiply
    2,321.90x = 3,204.84 × 1,437.20
  4. Step 4: Simplify right side
    2,321.90x = 4,605,980.02
  5. Step 5: Solve for x
    x = 4,605,980.02/2,321.90
  6. Step 6: Final answer
    x = 1,983.72

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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.