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Finding the Fourth Proportional to 1,809.62, 2,497.16 and 1,023.52

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Solution

The fourth proportional to 1,809.62, 2,497.16 and 1,023.52 is: 1,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.62 : 2,497.16 = 1,023.52 : x
  2. Step 2: Convert to fraction form
    1,809.62/2,497.16 = 1,023.52/x
  3. Step 3: Cross multiply
    1,809.62x = 2,497.16 × 1,023.52
  4. Step 4: Simplify right side
    1,809.62x = 2,555,893.20
  5. Step 5: Solve for x
    x = 2,555,893.20/1,809.62
  6. Step 6: Final answer
    x = 1,412.39

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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.