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Finding the Fourth Proportional to 2,299.57, 3,448.94 and 984.06

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Solution

The fourth proportional to 2,299.57, 3,448.94 and 984.06 is: 1,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.57 : 3,448.94 = 984.06 : x
  2. Step 2: Convert to fraction form
    2,299.57/3,448.94 = 984.06/x
  3. Step 3: Cross multiply
    2,299.57x = 3,448.94 × 984.06
  4. Step 4: Simplify right side
    2,299.57x = 3,393,966.36
  5. Step 5: Solve for x
    x = 3,393,966.36/2,299.57
  6. Step 6: Final answer
    x = 1,475.92

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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.