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Finding the Fourth Proportional to 1,645.18, 2,463.77 and 865.84

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Solution

The fourth proportional to 1,645.18, 2,463.77 and 865.84 is: 1,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.18 : 2,463.77 = 865.84 : x
  2. Step 2: Convert to fraction form
    1,645.18/2,463.77 = 865.84/x
  3. Step 3: Cross multiply
    1,645.18x = 2,463.77 × 865.84
  4. Step 4: Simplify right side
    1,645.18x = 2,133,226.37
  5. Step 5: Solve for x
    x = 2,133,226.37/1,645.18
  6. Step 6: Final answer
    x = 1,296.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.