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Finding the Fourth Proportional to 2,906.97, 4,360.42 and 715.72

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Solution

The fourth proportional to 2,906.97, 4,360.42 and 715.72 is: 1,073.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.97 : 4,360.42 = 715.72 : x
  2. Step 2: Convert to fraction form
    2,906.97/4,360.42 = 715.72/x
  3. Step 3: Cross multiply
    2,906.97x = 4,360.42 × 715.72
  4. Step 4: Simplify right side
    2,906.97x = 3,120,827.11
  5. Step 5: Solve for x
    x = 3,120,827.11/2,906.97
  6. Step 6: Final answer
    x = 1,073.57

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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.