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Finding the Fourth Proportional to 2,296.74, 3,442.89 and 910.04

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Solution

The fourth proportional to 2,296.74, 3,442.89 and 910.04 is: 1,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.74 : 3,442.89 = 910.04 : x
  2. Step 2: Convert to fraction form
    2,296.74/3,442.89 = 910.04/x
  3. Step 3: Cross multiply
    2,296.74x = 3,442.89 × 910.04
  4. Step 4: Simplify right side
    2,296.74x = 3,133,177.74
  5. Step 5: Solve for x
    x = 3,133,177.74/2,296.74
  6. Step 6: Final answer
    x = 1,364.19

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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.