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Finding the Fourth Proportional to 2,607.69, 3,911.58 and 852.71

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Solution

The fourth proportional to 2,607.69, 3,911.58 and 852.71 is: 1,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.69 : 3,911.58 = 852.71 : x
  2. Step 2: Convert to fraction form
    2,607.69/3,911.58 = 852.71/x
  3. Step 3: Cross multiply
    2,607.69x = 3,911.58 × 852.71
  4. Step 4: Simplify right side
    2,607.69x = 3,335,443.38
  5. Step 5: Solve for x
    x = 3,335,443.38/2,607.69
  6. Step 6: Final answer
    x = 1,279.08

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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.