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Finding the Fourth Proportional to 2,005.87, 3,009.13 and 618.88

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Solution

The fourth proportional to 2,005.87, 3,009.13 and 618.88 is: 928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.87 : 3,009.13 = 618.88 : x
  2. Step 2: Convert to fraction form
    2,005.87/3,009.13 = 618.88/x
  3. Step 3: Cross multiply
    2,005.87x = 3,009.13 × 618.88
  4. Step 4: Simplify right side
    2,005.87x = 1,862,287.28
  5. Step 5: Solve for x
    x = 1,862,287.28/2,005.87
  6. Step 6: Final answer
    x = 928.42

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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.