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Finding the Fourth Proportional to 2,666.96, 4,000.51 and 719.16

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Solution

The fourth proportional to 2,666.96, 4,000.51 and 719.16 is: 1,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.96 : 4,000.51 = 719.16 : x
  2. Step 2: Convert to fraction form
    2,666.96/4,000.51 = 719.16/x
  3. Step 3: Cross multiply
    2,666.96x = 4,000.51 × 719.16
  4. Step 4: Simplify right side
    2,666.96x = 2,876,992.67
  5. Step 5: Solve for x
    x = 2,876,992.67/2,666.96
  6. Step 6: Final answer
    x = 1,078.75

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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.