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Finding the Fourth Proportional to 2,539.02, 3,808.86 and 807.78

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Solution

The fourth proportional to 2,539.02, 3,808.86 and 807.78 is: 1,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.02 : 3,808.86 = 807.78 : x
  2. Step 2: Convert to fraction form
    2,539.02/3,808.86 = 807.78/x
  3. Step 3: Cross multiply
    2,539.02x = 3,808.86 × 807.78
  4. Step 4: Simplify right side
    2,539.02x = 3,076,720.93
  5. Step 5: Solve for x
    x = 3,076,720.93/2,539.02
  6. Step 6: Final answer
    x = 1,211.77

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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.