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Finding the Fourth Proportional to 2,097.84, 2,894.94 and 1,166.40

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Solution

The fourth proportional to 2,097.84, 2,894.94 and 1,166.40 is: 1,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.84 : 2,894.94 = 1,166.40 : x
  2. Step 2: Convert to fraction form
    2,097.84/2,894.94 = 1,166.40/x
  3. Step 3: Cross multiply
    2,097.84x = 2,894.94 × 1,166.40
  4. Step 4: Simplify right side
    2,097.84x = 3,376,658.02
  5. Step 5: Solve for x
    x = 3,376,658.02/2,097.84
  6. Step 6: Final answer
    x = 1,609.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.