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Finding the Fourth Proportional to 2,259.60, 3,389.04 and 872.43

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Solution

The fourth proportional to 2,259.60, 3,389.04 and 872.43 is: 1,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.60 : 3,389.04 = 872.43 : x
  2. Step 2: Convert to fraction form
    2,259.60/3,389.04 = 872.43/x
  3. Step 3: Cross multiply
    2,259.60x = 3,389.04 × 872.43
  4. Step 4: Simplify right side
    2,259.60x = 2,956,700.17
  5. Step 5: Solve for x
    x = 2,956,700.17/2,259.60
  6. Step 6: Final answer
    x = 1,308.51

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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.