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Finding the Fourth Proportional to 2,731.66, 4,097.50 and 1,088.62

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Solution

The fourth proportional to 2,731.66, 4,097.50 and 1,088.62 is: 1,632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.66 : 4,097.50 = 1,088.62 : x
  2. Step 2: Convert to fraction form
    2,731.66/4,097.50 = 1,088.62/x
  3. Step 3: Cross multiply
    2,731.66x = 4,097.50 × 1,088.62
  4. Step 4: Simplify right side
    2,731.66x = 4,460,599.96
  5. Step 5: Solve for x
    x = 4,460,599.96/2,731.66
  6. Step 6: Final answer
    x = 1,632.93

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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.