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Finding the Fourth Proportional to 3,254.86, 4,881.07 and 1,174.30

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Solution

The fourth proportional to 3,254.86, 4,881.07 and 1,174.30 is: 1,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.86 : 4,881.07 = 1,174.30 : x
  2. Step 2: Convert to fraction form
    3,254.86/4,881.07 = 1,174.30/x
  3. Step 3: Cross multiply
    3,254.86x = 4,881.07 × 1,174.30
  4. Step 4: Simplify right side
    3,254.86x = 5,731,840.50
  5. Step 5: Solve for x
    x = 5,731,840.50/3,254.86
  6. Step 6: Final answer
    x = 1,761.01

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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.