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Finding the Fourth Proportional to 3,088.24, 4,633.02 and 896.78

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Solution

The fourth proportional to 3,088.24, 4,633.02 and 896.78 is: 1,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.24 : 4,633.02 = 896.78 : x
  2. Step 2: Convert to fraction form
    3,088.24/4,633.02 = 896.78/x
  3. Step 3: Cross multiply
    3,088.24x = 4,633.02 × 896.78
  4. Step 4: Simplify right side
    3,088.24x = 4,154,799.68
  5. Step 5: Solve for x
    x = 4,154,799.68/3,088.24
  6. Step 6: Final answer
    x = 1,345.36

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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.