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Finding the Fourth Proportional to 2,823.60, 4,234.59 and 974.64

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Solution

The fourth proportional to 2,823.60, 4,234.59 and 974.64 is: 1,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.60 : 4,234.59 = 974.64 : x
  2. Step 2: Convert to fraction form
    2,823.60/4,234.59 = 974.64/x
  3. Step 3: Cross multiply
    2,823.60x = 4,234.59 × 974.64
  4. Step 4: Simplify right side
    2,823.60x = 4,127,200.80
  5. Step 5: Solve for x
    x = 4,127,200.80/2,823.60
  6. Step 6: Final answer
    x = 1,461.68

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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.