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Finding the Fourth Proportional to 2,852.64, 4,278.12 and 1,209.15

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Solution

The fourth proportional to 2,852.64, 4,278.12 and 1,209.15 is: 1,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.64 : 4,278.12 = 1,209.15 : x
  2. Step 2: Convert to fraction form
    2,852.64/4,278.12 = 1,209.15/x
  3. Step 3: Cross multiply
    2,852.64x = 4,278.12 × 1,209.15
  4. Step 4: Simplify right side
    2,852.64x = 5,172,888.80
  5. Step 5: Solve for x
    x = 5,172,888.80/2,852.64
  6. Step 6: Final answer
    x = 1,813.37

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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.