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Finding the Fourth Proportional to 2,048.81, 3,071.39 and 1,500.26

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Solution

The fourth proportional to 2,048.81, 3,071.39 and 1,500.26 is: 2,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.81 : 3,071.39 = 1,500.26 : x
  2. Step 2: Convert to fraction form
    2,048.81/3,071.39 = 1,500.26/x
  3. Step 3: Cross multiply
    2,048.81x = 3,071.39 × 1,500.26
  4. Step 4: Simplify right side
    2,048.81x = 4,607,860.70
  5. Step 5: Solve for x
    x = 4,607,860.70/2,048.81
  6. Step 6: Final answer
    x = 2,249.05

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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.