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Finding the Fourth Proportional to 2,610.24, 3,917.93 and 1,914.93

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Solution

The fourth proportional to 2,610.24, 3,917.93 and 1,914.93 is: 2,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.24 : 3,917.93 = 1,914.93 : x
  2. Step 2: Convert to fraction form
    2,610.24/3,917.93 = 1,914.93/x
  3. Step 3: Cross multiply
    2,610.24x = 3,917.93 × 1,914.93
  4. Step 4: Simplify right side
    2,610.24x = 7,502,552.12
  5. Step 5: Solve for x
    x = 7,502,552.12/2,610.24
  6. Step 6: Final answer
    x = 2,874.28

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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.