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Finding the Fourth Proportional to 2,465.98, 3,402.17 and 1,582.27

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Solution

The fourth proportional to 2,465.98, 3,402.17 and 1,582.27 is: 2,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.98 : 3,402.17 = 1,582.27 : x
  2. Step 2: Convert to fraction form
    2,465.98/3,402.17 = 1,582.27/x
  3. Step 3: Cross multiply
    2,465.98x = 3,402.17 × 1,582.27
  4. Step 4: Simplify right side
    2,465.98x = 5,383,151.53
  5. Step 5: Solve for x
    x = 5,383,151.53/2,465.98
  6. Step 6: Final answer
    x = 2,182.97

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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.