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Finding the Fourth Proportional to 1,599.63, 2,398.23 and 950.82

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Solution

The fourth proportional to 1,599.63, 2,398.23 and 950.82 is: 1,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.63 : 2,398.23 = 950.82 : x
  2. Step 2: Convert to fraction form
    1,599.63/2,398.23 = 950.82/x
  3. Step 3: Cross multiply
    1,599.63x = 2,398.23 × 950.82
  4. Step 4: Simplify right side
    1,599.63x = 2,280,285.05
  5. Step 5: Solve for x
    x = 2,280,285.05/1,599.63
  6. Step 6: Final answer
    x = 1,425.51

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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.