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Finding the Fourth Proportional to 2,852.61, 4,279.37 and 1,209.17

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Solution

The fourth proportional to 2,852.61, 4,279.37 and 1,209.17 is: 1,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.61 : 4,279.37 = 1,209.17 : x
  2. Step 2: Convert to fraction form
    2,852.61/4,279.37 = 1,209.17/x
  3. Step 3: Cross multiply
    2,852.61x = 4,279.37 × 1,209.17
  4. Step 4: Simplify right side
    2,852.61x = 5,174,458.38
  5. Step 5: Solve for x
    x = 5,174,458.38/2,852.61
  6. Step 6: Final answer
    x = 1,813.94

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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.