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Finding the Fourth Proportional to 2,801.61, 4,202.51 and 853.83

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Solution

The fourth proportional to 2,801.61, 4,202.51 and 853.83 is: 1,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.61 : 4,202.51 = 853.83 : x
  2. Step 2: Convert to fraction form
    2,801.61/4,202.51 = 853.83/x
  3. Step 3: Cross multiply
    2,801.61x = 4,202.51 × 853.83
  4. Step 4: Simplify right side
    2,801.61x = 3,588,224.84
  5. Step 5: Solve for x
    x = 3,588,224.84/2,801.61
  6. Step 6: Final answer
    x = 1,280.77

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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.