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Finding the Fourth Proportional to 1,576.99, 2,366.36 and 961.12

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Solution

The fourth proportional to 1,576.99, 2,366.36 and 961.12 is: 1,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.99 : 2,366.36 = 961.12 : x
  2. Step 2: Convert to fraction form
    1,576.99/2,366.36 = 961.12/x
  3. Step 3: Cross multiply
    1,576.99x = 2,366.36 × 961.12
  4. Step 4: Simplify right side
    1,576.99x = 2,274,339.29
  5. Step 5: Solve for x
    x = 2,274,339.29/1,576.99
  6. Step 6: Final answer
    x = 1,442.21

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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.