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Finding the Fourth Proportional to 3,200.92, 4,798.23 and 1,533.12

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Solution

The fourth proportional to 3,200.92, 4,798.23 and 1,533.12 is: 2,298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.92 : 4,798.23 = 1,533.12 : x
  2. Step 2: Convert to fraction form
    3,200.92/4,798.23 = 1,533.12/x
  3. Step 3: Cross multiply
    3,200.92x = 4,798.23 × 1,533.12
  4. Step 4: Simplify right side
    3,200.92x = 7,356,262.38
  5. Step 5: Solve for x
    x = 7,356,262.38/3,200.92
  6. Step 6: Final answer
    x = 2,298.17

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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.