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Finding the Fourth Proportional to 3,263.76, 4,892.00 and 1,416.42

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Solution

The fourth proportional to 3,263.76, 4,892.00 and 1,416.42 is: 2,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.76 : 4,892.00 = 1,416.42 : x
  2. Step 2: Convert to fraction form
    3,263.76/4,892.00 = 1,416.42/x
  3. Step 3: Cross multiply
    3,263.76x = 4,892.00 × 1,416.42
  4. Step 4: Simplify right side
    3,263.76x = 6,929,119.56
  5. Step 5: Solve for x
    x = 6,929,119.56/3,263.76
  6. Step 6: Final answer
    x = 2,123.05

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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.