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Finding the Fourth Proportional to 2,294.33, 3,439.94 and 907.29

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Solution

The fourth proportional to 2,294.33, 3,439.94 and 907.29 is: 1,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.33 : 3,439.94 = 907.29 : x
  2. Step 2: Convert to fraction form
    2,294.33/3,439.94 = 907.29/x
  3. Step 3: Cross multiply
    2,294.33x = 3,439.94 × 907.29
  4. Step 4: Simplify right side
    2,294.33x = 3,121,018.63
  5. Step 5: Solve for x
    x = 3,121,018.63/2,294.33
  6. Step 6: Final answer
    x = 1,360.32

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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.