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Finding the Fourth Proportional to 3,315.19, 4,972.48 and 849.96

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Solution

The fourth proportional to 3,315.19, 4,972.48 and 849.96 is: 1,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.19 : 4,972.48 = 849.96 : x
  2. Step 2: Convert to fraction form
    3,315.19/4,972.48 = 849.96/x
  3. Step 3: Cross multiply
    3,315.19x = 4,972.48 × 849.96
  4. Step 4: Simplify right side
    3,315.19x = 4,226,409.10
  5. Step 5: Solve for x
    x = 4,226,409.10/3,315.19
  6. Step 6: Final answer
    x = 1,274.86

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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.