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Finding the Fourth Proportional to 1,213.03, 1,827.65 and 1,097.61

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Solution

The fourth proportional to 1,213.03, 1,827.65 and 1,097.61 is: 1,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.03 : 1,827.65 = 1,097.61 : x
  2. Step 2: Convert to fraction form
    1,213.03/1,827.65 = 1,097.61/x
  3. Step 3: Cross multiply
    1,213.03x = 1,827.65 × 1,097.61
  4. Step 4: Simplify right side
    1,213.03x = 2,006,046.92
  5. Step 5: Solve for x
    x = 2,006,046.92/1,213.03
  6. Step 6: Final answer
    x = 1,653.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.