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Finding the Fourth Proportional to 2,666.80, 4,000.30 and 719.05

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Solution

The fourth proportional to 2,666.80, 4,000.30 and 719.05 is: 1,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.80 : 4,000.30 = 719.05 : x
  2. Step 2: Convert to fraction form
    2,666.80/4,000.30 = 719.05/x
  3. Step 3: Cross multiply
    2,666.80x = 4,000.30 × 719.05
  4. Step 4: Simplify right side
    2,666.80x = 2,876,415.72
  5. Step 5: Solve for x
    x = 2,876,415.72/2,666.80
  6. Step 6: Final answer
    x = 1,078.60

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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.