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Finding the Fourth Proportional to 3,088.41, 4,632.13 and 896.68

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Solution

The fourth proportional to 3,088.41, 4,632.13 and 896.68 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.41 : 4,632.13 = 896.68 : x
  2. Step 2: Convert to fraction form
    3,088.41/4,632.13 = 896.68/x
  3. Step 3: Cross multiply
    3,088.41x = 4,632.13 × 896.68
  4. Step 4: Simplify right side
    3,088.41x = 4,153,538.33
  5. Step 5: Solve for x
    x = 4,153,538.33/3,088.41
  6. Step 6: Final answer
    x = 1,344.88

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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.