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Finding the Fourth Proportional to 2,097.46, 2,894.54 and 1,153.31

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Solution

The fourth proportional to 2,097.46, 2,894.54 and 1,153.31 is: 1,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.46 : 2,894.54 = 1,153.31 : x
  2. Step 2: Convert to fraction form
    2,097.46/2,894.54 = 1,153.31/x
  3. Step 3: Cross multiply
    2,097.46x = 2,894.54 × 1,153.31
  4. Step 4: Simplify right side
    2,097.46x = 3,338,281.69
  5. Step 5: Solve for x
    x = 3,338,281.69/2,097.46
  6. Step 6: Final answer
    x = 1,591.58

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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.