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Finding the Fourth Proportional to 2,037.13, 3,055.33 and 576.25

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Solution

The fourth proportional to 2,037.13, 3,055.33 and 576.25 is: 864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.13 : 3,055.33 = 576.25 : x
  2. Step 2: Convert to fraction form
    2,037.13/3,055.33 = 576.25/x
  3. Step 3: Cross multiply
    2,037.13x = 3,055.33 × 576.25
  4. Step 4: Simplify right side
    2,037.13x = 1,760,626.99
  5. Step 5: Solve for x
    x = 1,760,626.99/2,037.13
  6. Step 6: Final answer
    x = 864.27

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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.