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Finding the Fourth Proportional to 2,097.24, 2,891.07 and 1,351.05

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Solution

The fourth proportional to 2,097.24, 2,891.07 and 1,351.05 is: 1,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.24 : 2,891.07 = 1,351.05 : x
  2. Step 2: Convert to fraction form
    2,097.24/2,891.07 = 1,351.05/x
  3. Step 3: Cross multiply
    2,097.24x = 2,891.07 × 1,351.05
  4. Step 4: Simplify right side
    2,097.24x = 3,905,980.12
  5. Step 5: Solve for x
    x = 3,905,980.12/2,097.24
  6. Step 6: Final answer
    x = 1,862.44

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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.