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Finding the Fourth Proportional to 2,335.30, 3,502.54 and 874.15

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Solution

The fourth proportional to 2,335.30, 3,502.54 and 874.15 is: 1,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.30 : 3,502.54 = 874.15 : x
  2. Step 2: Convert to fraction form
    2,335.30/3,502.54 = 874.15/x
  3. Step 3: Cross multiply
    2,335.30x = 3,502.54 × 874.15
  4. Step 4: Simplify right side
    2,335.30x = 3,061,745.34
  5. Step 5: Solve for x
    x = 3,061,745.34/2,335.30
  6. Step 6: Final answer
    x = 1,311.07

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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.