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Finding the Fourth Proportional to 2,529.62, 3,795.61 and 969.11

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Solution

The fourth proportional to 2,529.62, 3,795.61 and 969.11 is: 1,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.62 : 3,795.61 = 969.11 : x
  2. Step 2: Convert to fraction form
    2,529.62/3,795.61 = 969.11/x
  3. Step 3: Cross multiply
    2,529.62x = 3,795.61 × 969.11
  4. Step 4: Simplify right side
    2,529.62x = 3,678,342.21
  5. Step 5: Solve for x
    x = 3,678,342.21/2,529.62
  6. Step 6: Final answer
    x = 1,454.11

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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.