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Finding the Fourth Proportional to 1,992.19, 2,988.26 and 895.78

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Solution

The fourth proportional to 1,992.19, 2,988.26 and 895.78 is: 1,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.19 : 2,988.26 = 895.78 : x
  2. Step 2: Convert to fraction form
    1,992.19/2,988.26 = 895.78/x
  3. Step 3: Cross multiply
    1,992.19x = 2,988.26 × 895.78
  4. Step 4: Simplify right side
    1,992.19x = 2,676,813.83
  5. Step 5: Solve for x
    x = 2,676,813.83/1,992.19
  6. Step 6: Final answer
    x = 1,343.65

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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.