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Finding the Fourth Proportional to 1,646.72, 2,468.77 and 824.57

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Solution

The fourth proportional to 1,646.72, 2,468.77 and 824.57 is: 1,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.72 : 2,468.77 = 824.57 : x
  2. Step 2: Convert to fraction form
    1,646.72/2,468.77 = 824.57/x
  3. Step 3: Cross multiply
    1,646.72x = 2,468.77 × 824.57
  4. Step 4: Simplify right side
    1,646.72x = 2,035,673.68
  5. Step 5: Solve for x
    x = 2,035,673.68/1,646.72
  6. Step 6: Final answer
    x = 1,236.20

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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.