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Finding the Fourth Proportional to 2,379.68, 3,569.76 and 992.24

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Solution

The fourth proportional to 2,379.68, 3,569.76 and 992.24 is: 1,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.68 : 3,569.76 = 992.24 : x
  2. Step 2: Convert to fraction form
    2,379.68/3,569.76 = 992.24/x
  3. Step 3: Cross multiply
    2,379.68x = 3,569.76 × 992.24
  4. Step 4: Simplify right side
    2,379.68x = 3,542,040.81
  5. Step 5: Solve for x
    x = 3,542,040.81/2,379.68
  6. Step 6: Final answer
    x = 1,488.46

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1.5x scale

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.