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Finding the Fourth Proportional to 2,006.94, 3,009.12 and 964.87

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Solution

The fourth proportional to 2,006.94, 3,009.12 and 964.87 is: 1,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.94 : 3,009.12 = 964.87 : x
  2. Step 2: Convert to fraction form
    2,006.94/3,009.12 = 964.87/x
  3. Step 3: Cross multiply
    2,006.94x = 3,009.12 × 964.87
  4. Step 4: Simplify right side
    2,006.94x = 2,903,402.38
  5. Step 5: Solve for x
    x = 2,903,402.38/2,006.94
  6. Step 6: Final answer
    x = 1,446.68

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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.