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Finding the Fourth Proportional to 2,492.09, 3,738.14 and 932.03

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Solution

The fourth proportional to 2,492.09, 3,738.14 and 932.03 is: 1,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.09 : 3,738.14 = 932.03 : x
  2. Step 2: Convert to fraction form
    2,492.09/3,738.14 = 932.03/x
  3. Step 3: Cross multiply
    2,492.09x = 3,738.14 × 932.03
  4. Step 4: Simplify right side
    2,492.09x = 3,484,058.62
  5. Step 5: Solve for x
    x = 3,484,058.62/2,492.09
  6. Step 6: Final answer
    x = 1,398.05

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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.