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Finding the Fourth Proportional to 1,795.72, 2,476.86 and 1,097.44

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Solution

The fourth proportional to 1,795.72, 2,476.86 and 1,097.44 is: 1,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.72 : 2,476.86 = 1,097.44 : x
  2. Step 2: Convert to fraction form
    1,795.72/2,476.86 = 1,097.44/x
  3. Step 3: Cross multiply
    1,795.72x = 2,476.86 × 1,097.44
  4. Step 4: Simplify right side
    1,795.72x = 2,718,205.24
  5. Step 5: Solve for x
    x = 2,718,205.24/1,795.72
  6. Step 6: Final answer
    x = 1,513.71

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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.