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Finding the Fourth Proportional to 1,576.24, 2,363.74 and 926.21

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Solution

The fourth proportional to 1,576.24, 2,363.74 and 926.21 is: 1,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.24 : 2,363.74 = 926.21 : x
  2. Step 2: Convert to fraction form
    1,576.24/2,363.74 = 926.21/x
  3. Step 3: Cross multiply
    1,576.24x = 2,363.74 × 926.21
  4. Step 4: Simplify right side
    1,576.24x = 2,189,319.63
  5. Step 5: Solve for x
    x = 2,189,319.63/1,576.24
  6. Step 6: Final answer
    x = 1,388.95

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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.