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Finding the Fourth Proportional to 2,679.76, 3,697.73 and 1,500.66

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Solution

The fourth proportional to 2,679.76, 3,697.73 and 1,500.66 is: 2,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.76 : 3,697.73 = 1,500.66 : x
  2. Step 2: Convert to fraction form
    2,679.76/3,697.73 = 1,500.66/x
  3. Step 3: Cross multiply
    2,679.76x = 3,697.73 × 1,500.66
  4. Step 4: Simplify right side
    2,679.76x = 5,549,035.50
  5. Step 5: Solve for x
    x = 5,549,035.50/2,679.76
  6. Step 6: Final answer
    x = 2,070.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.