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Finding the Fourth Proportional to 2,679.86, 4,014.72 and 1,580.96

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Solution

The fourth proportional to 2,679.86, 4,014.72 and 1,580.96 is: 2,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.86 : 4,014.72 = 1,580.96 : x
  2. Step 2: Convert to fraction form
    2,679.86/4,014.72 = 1,580.96/x
  3. Step 3: Cross multiply
    2,679.86x = 4,014.72 × 1,580.96
  4. Step 4: Simplify right side
    2,679.86x = 6,347,111.73
  5. Step 5: Solve for x
    x = 6,347,111.73/2,679.86
  6. Step 6: Final answer
    x = 2,368.45

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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.