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Finding the Fourth Proportional to 2,820.30, 4,228.02 and 1,520.25

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Solution

The fourth proportional to 2,820.30, 4,228.02 and 1,520.25 is: 2,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.30 : 4,228.02 = 1,520.25 : x
  2. Step 2: Convert to fraction form
    2,820.30/4,228.02 = 1,520.25/x
  3. Step 3: Cross multiply
    2,820.30x = 4,228.02 × 1,520.25
  4. Step 4: Simplify right side
    2,820.30x = 6,427,647.41
  5. Step 5: Solve for x
    x = 6,427,647.41/2,820.30
  6. Step 6: Final answer
    x = 2,279.07

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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.