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Finding the Fourth Proportional to 3,088.22, 4,633.09 and 896.97

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Solution

The fourth proportional to 3,088.22, 4,633.09 and 896.97 is: 1,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.22 : 4,633.09 = 896.97 : x
  2. Step 2: Convert to fraction form
    3,088.22/4,633.09 = 896.97/x
  3. Step 3: Cross multiply
    3,088.22x = 4,633.09 × 896.97
  4. Step 4: Simplify right side
    3,088.22x = 4,155,742.74
  5. Step 5: Solve for x
    x = 4,155,742.74/3,088.22
  6. Step 6: Final answer
    x = 1,345.68

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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.