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Finding the Fourth Proportional to 1,871.40, 2,806.35 and 1,091.68

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Solution

The fourth proportional to 1,871.40, 2,806.35 and 1,091.68 is: 1,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.40 : 2,806.35 = 1,091.68 : x
  2. Step 2: Convert to fraction form
    1,871.40/2,806.35 = 1,091.68/x
  3. Step 3: Cross multiply
    1,871.40x = 2,806.35 × 1,091.68
  4. Step 4: Simplify right side
    1,871.40x = 3,063,625.06
  5. Step 5: Solve for x
    x = 3,063,625.06/1,871.40
  6. Step 6: Final answer
    x = 1,637.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.