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Finding the Fourth Proportional to 2,197.07, 3,295.93 and 715.81

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Solution

The fourth proportional to 2,197.07, 3,295.93 and 715.81 is: 1,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.07 : 3,295.93 = 715.81 : x
  2. Step 2: Convert to fraction form
    2,197.07/3,295.93 = 715.81/x
  3. Step 3: Cross multiply
    2,197.07x = 3,295.93 × 715.81
  4. Step 4: Simplify right side
    2,197.07x = 2,359,243.17
  5. Step 5: Solve for x
    x = 2,359,243.17/2,197.07
  6. Step 6: Final answer
    x = 1,073.82

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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.