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Finding the Fourth Proportional to 2,917.75, 4,026.50 and 1,871.23

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Solution

The fourth proportional to 2,917.75, 4,026.50 and 1,871.23 is: 2,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.75 : 4,026.50 = 1,871.23 : x
  2. Step 2: Convert to fraction form
    2,917.75/4,026.50 = 1,871.23/x
  3. Step 3: Cross multiply
    2,917.75x = 4,026.50 × 1,871.23
  4. Step 4: Simplify right side
    2,917.75x = 7,534,507.60
  5. Step 5: Solve for x
    x = 7,534,507.60/2,917.75
  6. Step 6: Final answer
    x = 2,582.30

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