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Finding the Fourth Proportional to 2,490.82, 3,438.80 and 2,214.05

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Solution

The fourth proportional to 2,490.82, 3,438.80 and 2,214.05 is: 3,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.82 : 3,438.80 = 2,214.05 : x
  2. Step 2: Convert to fraction form
    2,490.82/3,438.80 = 2,214.05/x
  3. Step 3: Cross multiply
    2,490.82x = 3,438.80 × 2,214.05
  4. Step 4: Simplify right side
    2,490.82x = 7,613,686.98
  5. Step 5: Solve for x
    x = 7,613,686.98/2,490.82
  6. Step 6: Final answer
    x = 3,056.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.