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Finding the Fourth Proportional to 2,315.08, 3,472.62 and 890.29

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Solution

The fourth proportional to 2,315.08, 3,472.62 and 890.29 is: 1,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.08 : 3,472.62 = 890.29 : x
  2. Step 2: Convert to fraction form
    2,315.08/3,472.62 = 890.29/x
  3. Step 3: Cross multiply
    2,315.08x = 3,472.62 × 890.29
  4. Step 4: Simplify right side
    2,315.08x = 3,091,638.86
  5. Step 5: Solve for x
    x = 3,091,638.86/2,315.08
  6. Step 6: Final answer
    x = 1,335.44

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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.