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Finding the Fourth Proportional to 2,335.40, 3,502.14 and 1,871.72

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Solution

The fourth proportional to 2,335.40, 3,502.14 and 1,871.72 is: 2,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.40 : 3,502.14 = 1,871.72 : x
  2. Step 2: Convert to fraction form
    2,335.40/3,502.14 = 1,871.72/x
  3. Step 3: Cross multiply
    2,335.40x = 3,502.14 × 1,871.72
  4. Step 4: Simplify right side
    2,335.40x = 6,555,025.48
  5. Step 5: Solve for x
    x = 6,555,025.48/2,335.40
  6. Step 6: Final answer
    x = 2,806.81

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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.