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Finding the Fourth Proportional to 2,726.44, 4,089.66 and 995.08

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Solution

The fourth proportional to 2,726.44, 4,089.66 and 995.08 is: 1,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.44 : 4,089.66 = 995.08 : x
  2. Step 2: Convert to fraction form
    2,726.44/4,089.66 = 995.08/x
  3. Step 3: Cross multiply
    2,726.44x = 4,089.66 × 995.08
  4. Step 4: Simplify right side
    2,726.44x = 4,069,538.87
  5. Step 5: Solve for x
    x = 4,069,538.87/2,726.44
  6. Step 6: Final answer
    x = 1,492.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.