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Finding the Fourth Proportional to 3,134.68, 4,325.70 and 1,718.38

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Solution

The fourth proportional to 3,134.68, 4,325.70 and 1,718.38 is: 2,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.68 : 4,325.70 = 1,718.38 : x
  2. Step 2: Convert to fraction form
    3,134.68/4,325.70 = 1,718.38/x
  3. Step 3: Cross multiply
    3,134.68x = 4,325.70 × 1,718.38
  4. Step 4: Simplify right side
    3,134.68x = 7,433,196.37
  5. Step 5: Solve for x
    x = 7,433,196.37/3,134.68
  6. Step 6: Final answer
    x = 2,371.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.