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Finding the Fourth Proportional to 2,896.91, 4,344.40 and 948.66

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Solution

The fourth proportional to 2,896.91, 4,344.40 and 948.66 is: 1,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.91 : 4,344.40 = 948.66 : x
  2. Step 2: Convert to fraction form
    2,896.91/4,344.40 = 948.66/x
  3. Step 3: Cross multiply
    2,896.91x = 4,344.40 × 948.66
  4. Step 4: Simplify right side
    2,896.91x = 4,121,358.50
  5. Step 5: Solve for x
    x = 4,121,358.50/2,896.91
  6. Step 6: Final answer
    x = 1,422.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.