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Finding the Fourth Proportional to 2,048.88, 3,071.48 and 750.05

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Solution

The fourth proportional to 2,048.88, 3,071.48 and 750.05 is: 1,124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.88 : 3,071.48 = 750.05 : x
  2. Step 2: Convert to fraction form
    2,048.88/3,071.48 = 750.05/x
  3. Step 3: Cross multiply
    2,048.88x = 3,071.48 × 750.05
  4. Step 4: Simplify right side
    2,048.88x = 2,303,744.47
  5. Step 5: Solve for x
    x = 2,303,744.47/2,048.88
  6. Step 6: Final answer
    x = 1,124.39

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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.