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Finding the Fourth Proportional to 2,775.90, 4,163.82 and 828.10

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Solution

The fourth proportional to 2,775.90, 4,163.82 and 828.10 is: 1,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.90 : 4,163.82 = 828.10 : x
  2. Step 2: Convert to fraction form
    2,775.90/4,163.82 = 828.10/x
  3. Step 3: Cross multiply
    2,775.90x = 4,163.82 × 828.10
  4. Step 4: Simplify right side
    2,775.90x = 3,448,059.34
  5. Step 5: Solve for x
    x = 3,448,059.34/2,775.90
  6. Step 6: Final answer
    x = 1,242.14

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1.5x scale

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.