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Finding the Fourth Proportional to 2,852.08, 4,281 and 2,031.28

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Solution

The fourth proportional to 2,852.08, 4,281 and 2,031.28 is: 3,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.08 : 4,281 = 2,031.28 : x
  2. Step 2: Convert to fraction form
    2,852.08/4,281 = 2,031.28/x
  3. Step 3: Cross multiply
    2,852.08x = 4,281 × 2,031.28
  4. Step 4: Simplify right side
    2,852.08x = 8,695,909.68
  5. Step 5: Solve for x
    x = 8,695,909.68/2,852.08
  6. Step 6: Final answer
    x = 3,048.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.