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Finding the Fourth Proportional to 2,318, 3,462.18 and 2,098.28

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Solution

The fourth proportional to 2,318, 3,462.18 and 2,098.28 is: 3,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 3,462.18 = 2,098.28 : x
  2. Step 2: Convert to fraction form
    2,318/3,462.18 = 2,098.28/x
  3. Step 3: Cross multiply
    2,318x = 3,462.18 × 2,098.28
  4. Step 4: Simplify right side
    2,318x = 7,264,623.05
  5. Step 5: Solve for x
    x = 7,264,623.05/2,318
  6. Step 6: Final answer
    x = 3,134.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.