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Finding the Fourth Proportional to 2,457.59, 3,392.75 and 1,896.84

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Solution

The fourth proportional to 2,457.59, 3,392.75 and 1,896.84 is: 2,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.59 : 3,392.75 = 1,896.84 : x
  2. Step 2: Convert to fraction form
    2,457.59/3,392.75 = 1,896.84/x
  3. Step 3: Cross multiply
    2,457.59x = 3,392.75 × 1,896.84
  4. Step 4: Simplify right side
    2,457.59x = 6,435,503.91
  5. Step 5: Solve for x
    x = 6,435,503.91/2,457.59
  6. Step 6: Final answer
    x = 2,618.62

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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.