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Finding the Fourth Proportional to 2,009.57, 3,013.23 and 622.51

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Solution

The fourth proportional to 2,009.57, 3,013.23 and 622.51 is: 933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.57 : 3,013.23 = 622.51 : x
  2. Step 2: Convert to fraction form
    2,009.57/3,013.23 = 622.51/x
  3. Step 3: Cross multiply
    2,009.57x = 3,013.23 × 622.51
  4. Step 4: Simplify right side
    2,009.57x = 1,875,765.81
  5. Step 5: Solve for x
    x = 1,875,765.81/2,009.57
  6. Step 6: Final answer
    x = 933.42

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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.