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Finding the Fourth Proportional to 2,315.19, 3,469.80 and 852.61

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Solution

The fourth proportional to 2,315.19, 3,469.80 and 852.61 is: 1,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.19 : 3,469.80 = 852.61 : x
  2. Step 2: Convert to fraction form
    2,315.19/3,469.80 = 852.61/x
  3. Step 3: Cross multiply
    2,315.19x = 3,469.80 × 852.61
  4. Step 4: Simplify right side
    2,315.19x = 2,958,386.18
  5. Step 5: Solve for x
    x = 2,958,386.18/2,315.19
  6. Step 6: Final answer
    x = 1,277.82

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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.