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Finding the Fourth Proportional to 2,457.74, 3,388.36 and 2,381.30

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Solution

The fourth proportional to 2,457.74, 3,388.36 and 2,381.30 is: 3,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.74 : 3,388.36 = 2,381.30 : x
  2. Step 2: Convert to fraction form
    2,457.74/3,388.36 = 2,381.30/x
  3. Step 3: Cross multiply
    2,457.74x = 3,388.36 × 2,381.30
  4. Step 4: Simplify right side
    2,457.74x = 8,068,678.77
  5. Step 5: Solve for x
    x = 8,068,678.77/2,457.74
  6. Step 6: Final answer
    x = 3,282.97

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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.