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Finding the Fourth Proportional to 2,852.67, 4,278.86 and 1,097.34

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Solution

The fourth proportional to 2,852.67, 4,278.86 and 1,097.34 is: 1,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.67 : 4,278.86 = 1,097.34 : x
  2. Step 2: Convert to fraction form
    2,852.67/4,278.86 = 1,097.34/x
  3. Step 3: Cross multiply
    2,852.67x = 4,278.86 × 1,097.34
  4. Step 4: Simplify right side
    2,852.67x = 4,695,364.23
  5. Step 5: Solve for x
    x = 4,695,364.23/2,852.67
  6. Step 6: Final answer
    x = 1,645.95

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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.