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Finding the Fourth Proportional to 2,823.97, 4,235.89 and 974.91

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Solution

The fourth proportional to 2,823.97, 4,235.89 and 974.91 is: 1,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.97 : 4,235.89 = 974.91 : x
  2. Step 2: Convert to fraction form
    2,823.97/4,235.89 = 974.91/x
  3. Step 3: Cross multiply
    2,823.97x = 4,235.89 × 974.91
  4. Step 4: Simplify right side
    2,823.97x = 4,129,607.49
  5. Step 5: Solve for x
    x = 4,129,607.49/2,823.97
  6. Step 6: Final answer
    x = 1,462.34

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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.