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Finding the Fourth Proportional to 3,009.24, 4,513.83 and 930.04

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Solution

The fourth proportional to 3,009.24, 4,513.83 and 930.04 is: 1,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.24 : 4,513.83 = 930.04 : x
  2. Step 2: Convert to fraction form
    3,009.24/4,513.83 = 930.04/x
  3. Step 3: Cross multiply
    3,009.24x = 4,513.83 × 930.04
  4. Step 4: Simplify right side
    3,009.24x = 4,198,042.45
  5. Step 5: Solve for x
    x = 4,198,042.45/3,009.24
  6. Step 6: Final answer
    x = 1,395.05

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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.