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Finding the Fourth Proportional to 1,416.72, 1,954.76 and 819.06

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Solution

The fourth proportional to 1,416.72, 1,954.76 and 819.06 is: 1,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.72 : 1,954.76 = 819.06 : x
  2. Step 2: Convert to fraction form
    1,416.72/1,954.76 = 819.06/x
  3. Step 3: Cross multiply
    1,416.72x = 1,954.76 × 819.06
  4. Step 4: Simplify right side
    1,416.72x = 1,601,065.73
  5. Step 5: Solve for x
    x = 1,601,065.73/1,416.72
  6. Step 6: Final answer
    x = 1,130.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.