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Finding the Fourth Proportional to 2,034.55, 3,051.23 and 801.55

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Solution

The fourth proportional to 2,034.55, 3,051.23 and 801.55 is: 1,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.55 : 3,051.23 = 801.55 : x
  2. Step 2: Convert to fraction form
    2,034.55/3,051.23 = 801.55/x
  3. Step 3: Cross multiply
    2,034.55x = 3,051.23 × 801.55
  4. Step 4: Simplify right side
    2,034.55x = 2,445,709.40
  5. Step 5: Solve for x
    x = 2,445,709.40/2,034.55
  6. Step 6: Final answer
    x = 1,202.09

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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.