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Finding the Fourth Proportional to 2,823.95, 4,234.89 and 974.54

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Solution

The fourth proportional to 2,823.95, 4,234.89 and 974.54 is: 1,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.95 : 4,234.89 = 974.54 : x
  2. Step 2: Convert to fraction form
    2,823.95/4,234.89 = 974.54/x
  3. Step 3: Cross multiply
    2,823.95x = 4,234.89 × 974.54
  4. Step 4: Simplify right side
    2,823.95x = 4,127,069.70
  5. Step 5: Solve for x
    x = 4,127,069.70/2,823.95
  6. Step 6: Final answer
    x = 1,461.45

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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.