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Finding the Fourth Proportional to 2,822.70, 4,232.67 and 973.20

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Solution

The fourth proportional to 2,822.70, 4,232.67 and 973.20 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.70 : 4,232.67 = 973.20 : x
  2. Step 2: Convert to fraction form
    2,822.70/4,232.67 = 973.20/x
  3. Step 3: Cross multiply
    2,822.70x = 4,232.67 × 973.20
  4. Step 4: Simplify right side
    2,822.70x = 4,119,234.44
  5. Step 5: Solve for x
    x = 4,119,234.44/2,822.70
  6. Step 6: Final answer
    x = 1,459.32

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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.