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Finding the Fourth Proportional to 3,315.34, 4,972.63 and 850.17

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Solution

The fourth proportional to 3,315.34, 4,972.63 and 850.17 is: 1,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.34 : 4,972.63 = 850.17 : x
  2. Step 2: Convert to fraction form
    3,315.34/4,972.63 = 850.17/x
  3. Step 3: Cross multiply
    3,315.34x = 4,972.63 × 850.17
  4. Step 4: Simplify right side
    3,315.34x = 4,227,580.85
  5. Step 5: Solve for x
    x = 4,227,580.85/3,315.34
  6. Step 6: Final answer
    x = 1,275.16

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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.