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Finding the Fourth Proportional to 2,492.03, 3,738.69 and 932.06

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Solution

The fourth proportional to 2,492.03, 3,738.69 and 932.06 is: 1,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.03 : 3,738.69 = 932.06 : x
  2. Step 2: Convert to fraction form
    2,492.03/3,738.69 = 932.06/x
  3. Step 3: Cross multiply
    2,492.03x = 3,738.69 × 932.06
  4. Step 4: Simplify right side
    2,492.03x = 3,484,664.71
  5. Step 5: Solve for x
    x = 3,484,664.71/2,492.03
  6. Step 6: Final answer
    x = 1,398.33

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