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Finding the Fourth Proportional to 2,552.98, 3,830.95 and 994.06

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Solution

The fourth proportional to 2,552.98, 3,830.95 and 994.06 is: 1,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.98 : 3,830.95 = 994.06 : x
  2. Step 2: Convert to fraction form
    2,552.98/3,830.95 = 994.06/x
  3. Step 3: Cross multiply
    2,552.98x = 3,830.95 × 994.06
  4. Step 4: Simplify right side
    2,552.98x = 3,808,194.16
  5. Step 5: Solve for x
    x = 3,808,194.16/2,552.98
  6. Step 6: Final answer
    x = 1,491.67

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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.