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Finding the Fourth Proportional to 2,194.84, 3,292.32 and 895.40

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Solution

The fourth proportional to 2,194.84, 3,292.32 and 895.40 is: 1,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.84 : 3,292.32 = 895.40 : x
  2. Step 2: Convert to fraction form
    2,194.84/3,292.32 = 895.40/x
  3. Step 3: Cross multiply
    2,194.84x = 3,292.32 × 895.40
  4. Step 4: Simplify right side
    2,194.84x = 2,947,943.33
  5. Step 5: Solve for x
    x = 2,947,943.33/2,194.84
  6. Step 6: Final answer
    x = 1,343.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.