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Finding the Fourth Proportional to 2,922.86, 4,382.82 and 974.36

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Solution

The fourth proportional to 2,922.86, 4,382.82 and 974.36 is: 1,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.86 : 4,382.82 = 974.36 : x
  2. Step 2: Convert to fraction form
    2,922.86/4,382.82 = 974.36/x
  3. Step 3: Cross multiply
    2,922.86x = 4,382.82 × 974.36
  4. Step 4: Simplify right side
    2,922.86x = 4,270,444.50
  5. Step 5: Solve for x
    x = 4,270,444.50/2,922.86
  6. Step 6: Final answer
    x = 1,461.05

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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.