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Finding the Fourth Proportional to 2,155.07, 2,974.14 and 1,448.09

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Solution

The fourth proportional to 2,155.07, 2,974.14 and 1,448.09 is: 1,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.07 : 2,974.14 = 1,448.09 : x
  2. Step 2: Convert to fraction form
    2,155.07/2,974.14 = 1,448.09/x
  3. Step 3: Cross multiply
    2,155.07x = 2,974.14 × 1,448.09
  4. Step 4: Simplify right side
    2,155.07x = 4,306,826.21
  5. Step 5: Solve for x
    x = 4,306,826.21/2,155.07
  6. Step 6: Final answer
    x = 1,998.47

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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.