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Finding the Fourth Proportional to 1,655.96, 2,284.47 and 1,324.85

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Solution

The fourth proportional to 1,655.96, 2,284.47 and 1,324.85 is: 1,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.96 : 2,284.47 = 1,324.85 : x
  2. Step 2: Convert to fraction form
    1,655.96/2,284.47 = 1,324.85/x
  3. Step 3: Cross multiply
    1,655.96x = 2,284.47 × 1,324.85
  4. Step 4: Simplify right side
    1,655.96x = 3,026,568.66
  5. Step 5: Solve for x
    x = 3,026,568.66/1,655.96
  6. Step 6: Final answer
    x = 1,827.69

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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.