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Finding the Fourth Proportional to 2,031.75, 3,048.44 and 715.77

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Solution

The fourth proportional to 2,031.75, 3,048.44 and 715.77 is: 1,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.75 : 3,048.44 = 715.77 : x
  2. Step 2: Convert to fraction form
    2,031.75/3,048.44 = 715.77/x
  3. Step 3: Cross multiply
    2,031.75x = 3,048.44 × 715.77
  4. Step 4: Simplify right side
    2,031.75x = 2,181,978.32
  5. Step 5: Solve for x
    x = 2,181,978.32/2,031.75
  6. Step 6: Final answer
    x = 1,073.94

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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.