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Finding the Fourth Proportional to 2,655.10, 3,984.15 and 1,011.80

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Solution

The fourth proportional to 2,655.10, 3,984.15 and 1,011.80 is: 1,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.10 : 3,984.15 = 1,011.80 : x
  2. Step 2: Convert to fraction form
    2,655.10/3,984.15 = 1,011.80/x
  3. Step 3: Cross multiply
    2,655.10x = 3,984.15 × 1,011.80
  4. Step 4: Simplify right side
    2,655.10x = 4,031,162.97
  5. Step 5: Solve for x
    x = 4,031,162.97/2,655.10
  6. Step 6: Final answer
    x = 1,518.27

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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.