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Finding the Fourth Proportional to 2,424.39, 3,636.12 and 780.54

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Solution

The fourth proportional to 2,424.39, 3,636.12 and 780.54 is: 1,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.39 : 3,636.12 = 780.54 : x
  2. Step 2: Convert to fraction form
    2,424.39/3,636.12 = 780.54/x
  3. Step 3: Cross multiply
    2,424.39x = 3,636.12 × 780.54
  4. Step 4: Simplify right side
    2,424.39x = 2,838,137.10
  5. Step 5: Solve for x
    x = 2,838,137.10/2,424.39
  6. Step 6: Final answer
    x = 1,170.66

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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.