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Finding the Fourth Proportional to 1,769.55, 2,440.08 and 1,319.39

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Solution

The fourth proportional to 1,769.55, 2,440.08 and 1,319.39 is: 1,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.55 : 2,440.08 = 1,319.39 : x
  2. Step 2: Convert to fraction form
    1,769.55/2,440.08 = 1,319.39/x
  3. Step 3: Cross multiply
    1,769.55x = 2,440.08 × 1,319.39
  4. Step 4: Simplify right side
    1,769.55x = 3,219,404.95
  5. Step 5: Solve for x
    x = 3,219,404.95/1,769.55
  6. Step 6: Final answer
    x = 1,819.34

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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.