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Finding the Fourth Proportional to 1,809.59, 2,497.17 and 1,023.62

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Solution

The fourth proportional to 1,809.59, 2,497.17 and 1,023.62 is: 1,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.59 : 2,497.17 = 1,023.62 : x
  2. Step 2: Convert to fraction form
    1,809.59/2,497.17 = 1,023.62/x
  3. Step 3: Cross multiply
    1,809.59x = 2,497.17 × 1,023.62
  4. Step 4: Simplify right side
    1,809.59x = 2,556,140.67
  5. Step 5: Solve for x
    x = 2,556,140.67/1,809.59
  6. Step 6: Final answer
    x = 1,412.56

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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.