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Finding the Fourth Proportional to 1,917.14, 2,871.93 and 1,782.14

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Solution

The fourth proportional to 1,917.14, 2,871.93 and 1,782.14 is: 2,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.14 : 2,871.93 = 1,782.14 : x
  2. Step 2: Convert to fraction form
    1,917.14/2,871.93 = 1,782.14/x
  3. Step 3: Cross multiply
    1,917.14x = 2,871.93 × 1,782.14
  4. Step 4: Simplify right side
    1,917.14x = 5,118,181.33
  5. Step 5: Solve for x
    x = 5,118,181.33/1,917.14
  6. Step 6: Final answer
    x = 2,669.70

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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.