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Finding the Fourth Proportional to 2,379.92, 3,570.58 and 992.54

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Solution

The fourth proportional to 2,379.92, 3,570.58 and 992.54 is: 1,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.92 : 3,570.58 = 992.54 : x
  2. Step 2: Convert to fraction form
    2,379.92/3,570.58 = 992.54/x
  3. Step 3: Cross multiply
    2,379.92x = 3,570.58 × 992.54
  4. Step 4: Simplify right side
    2,379.92x = 3,543,943.47
  5. Step 5: Solve for x
    x = 3,543,943.47/2,379.92
  6. Step 6: Final answer
    x = 1,489.10

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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.