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Finding the Fourth Proportional to 2,097.14, 2,894.05 and 1,152.99

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Solution

The fourth proportional to 2,097.14, 2,894.05 and 1,152.99 is: 1,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.14 : 2,894.05 = 1,152.99 : x
  2. Step 2: Convert to fraction form
    2,097.14/2,894.05 = 1,152.99/x
  3. Step 3: Cross multiply
    2,097.14x = 2,894.05 × 1,152.99
  4. Step 4: Simplify right side
    2,097.14x = 3,336,820.84
  5. Step 5: Solve for x
    x = 3,336,820.84/2,097.14
  6. Step 6: Final answer
    x = 1,591.13

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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.