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Finding the Fourth Proportional to 2,097.68, 2,894.84 and 1,153.52

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Solution

The fourth proportional to 2,097.68, 2,894.84 and 1,153.52 is: 1,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.68 : 2,894.84 = 1,153.52 : x
  2. Step 2: Convert to fraction form
    2,097.68/2,894.84 = 1,153.52/x
  3. Step 3: Cross multiply
    2,097.68x = 2,894.84 × 1,153.52
  4. Step 4: Simplify right side
    2,097.68x = 3,339,242.10
  5. Step 5: Solve for x
    x = 3,339,242.10/2,097.68
  6. Step 6: Final answer
    x = 1,591.87

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1.5x scale

Why These Related Problems?

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