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Finding the Fourth Proportional to 2,855.30, 4,280.04 and 1,620.11

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Solution

The fourth proportional to 2,855.30, 4,280.04 and 1,620.11 is: 2,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.30 : 4,280.04 = 1,620.11 : x
  2. Step 2: Convert to fraction form
    2,855.30/4,280.04 = 1,620.11/x
  3. Step 3: Cross multiply
    2,855.30x = 4,280.04 × 1,620.11
  4. Step 4: Simplify right side
    2,855.30x = 6,934,116.21
  5. Step 5: Solve for x
    x = 6,934,116.21/2,855.30
  6. Step 6: Final answer
    x = 2,428.50

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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.