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Finding the Fourth Proportional to 2,425.78, 3,636.18 and 1,383.65

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Solution

The fourth proportional to 2,425.78, 3,636.18 and 1,383.65 is: 2,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.78 : 3,636.18 = 1,383.65 : x
  2. Step 2: Convert to fraction form
    2,425.78/3,636.18 = 1,383.65/x
  3. Step 3: Cross multiply
    2,425.78x = 3,636.18 × 1,383.65
  4. Step 4: Simplify right side
    2,425.78x = 5,031,200.46
  5. Step 5: Solve for x
    x = 5,031,200.46/2,425.78
  6. Step 6: Final answer
    x = 2,074.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.