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Finding the Fourth Proportional to 2,952.74, 4,427.28 and 1,102.90

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Solution

The fourth proportional to 2,952.74, 4,427.28 and 1,102.90 is: 1,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.74 : 4,427.28 = 1,102.90 : x
  2. Step 2: Convert to fraction form
    2,952.74/4,427.28 = 1,102.90/x
  3. Step 3: Cross multiply
    2,952.74x = 4,427.28 × 1,102.90
  4. Step 4: Simplify right side
    2,952.74x = 4,882,847.11
  5. Step 5: Solve for x
    x = 4,882,847.11/2,952.74
  6. Step 6: Final answer
    x = 1,653.67

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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.