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Finding the Fourth Proportional to 2,820.56, 4,233.40 and 1,505.42

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Solution

The fourth proportional to 2,820.56, 4,233.40 and 1,505.42 is: 2,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.56 : 4,233.40 = 1,505.42 : x
  2. Step 2: Convert to fraction form
    2,820.56/4,233.40 = 1,505.42/x
  3. Step 3: Cross multiply
    2,820.56x = 4,233.40 × 1,505.42
  4. Step 4: Simplify right side
    2,820.56x = 6,373,051.85
  5. Step 5: Solve for x
    x = 6,373,051.85/2,820.56
  6. Step 6: Final answer
    x = 2,259.50

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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.