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Finding the Fourth Proportional to 2,127.84, 3,189.66 and 895.56

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Solution

The fourth proportional to 2,127.84, 3,189.66 and 895.56 is: 1,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.84 : 3,189.66 = 895.56 : x
  2. Step 2: Convert to fraction form
    2,127.84/3,189.66 = 895.56/x
  3. Step 3: Cross multiply
    2,127.84x = 3,189.66 × 895.56
  4. Step 4: Simplify right side
    2,127.84x = 2,856,531.91
  5. Step 5: Solve for x
    x = 2,856,531.91/2,127.84
  6. Step 6: Final answer
    x = 1,342.46

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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.