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Finding the Fourth Proportional to 1,773.56, 2,661.98 and 896.68

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Solution

The fourth proportional to 1,773.56, 2,661.98 and 896.68 is: 1,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.56 : 2,661.98 = 896.68 : x
  2. Step 2: Convert to fraction form
    1,773.56/2,661.98 = 896.68/x
  3. Step 3: Cross multiply
    1,773.56x = 2,661.98 × 896.68
  4. Step 4: Simplify right side
    1,773.56x = 2,386,935.33
  5. Step 5: Solve for x
    x = 2,386,935.33/1,773.56
  6. Step 6: Final answer
    x = 1,345.85

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Why These Related Problems?

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