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Finding the Fourth Proportional to 2,312.40, 3,462.18 and 1,617.48

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Solution

The fourth proportional to 2,312.40, 3,462.18 and 1,617.48 is: 2,421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.40 : 3,462.18 = 1,617.48 : x
  2. Step 2: Convert to fraction form
    2,312.40/3,462.18 = 1,617.48/x
  3. Step 3: Cross multiply
    2,312.40x = 3,462.18 × 1,617.48
  4. Step 4: Simplify right side
    2,312.40x = 5,600,006.91
  5. Step 5: Solve for x
    x = 5,600,006.91/2,312.40
  6. Step 6: Final answer
    x = 2,421.73

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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.