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Finding the Fourth Proportional to 2,670.73, 4,006.33 and 1,559.47

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Solution

The fourth proportional to 2,670.73, 4,006.33 and 1,559.47 is: 2,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.73 : 4,006.33 = 1,559.47 : x
  2. Step 2: Convert to fraction form
    2,670.73/4,006.33 = 1,559.47/x
  3. Step 3: Cross multiply
    2,670.73x = 4,006.33 × 1,559.47
  4. Step 4: Simplify right side
    2,670.73x = 6,247,751.45
  5. Step 5: Solve for x
    x = 6,247,751.45/2,670.73
  6. Step 6: Final answer
    x = 2,339.34

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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.