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Finding the Fourth Proportional to 2,465.33, 3,402.90 and 1,679.82

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Solution

The fourth proportional to 2,465.33, 3,402.90 and 1,679.82 is: 2,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.33 : 3,402.90 = 1,679.82 : x
  2. Step 2: Convert to fraction form
    2,465.33/3,402.90 = 1,679.82/x
  3. Step 3: Cross multiply
    2,465.33x = 3,402.90 × 1,679.82
  4. Step 4: Simplify right side
    2,465.33x = 5,716,259.48
  5. Step 5: Solve for x
    x = 5,716,259.48/2,465.33
  6. Step 6: Final answer
    x = 2,318.66

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