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Finding the Fourth Proportional to 2,624.32, 3,940.80 and 2,302.40

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Solution

The fourth proportional to 2,624.32, 3,940.80 and 2,302.40 is: 3,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.32 : 3,940.80 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    2,624.32/3,940.80 = 2,302.40/x
  3. Step 3: Cross multiply
    2,624.32x = 3,940.80 × 2,302.40
  4. Step 4: Simplify right side
    2,624.32x = 9,073,297.92
  5. Step 5: Solve for x
    x = 9,073,297.92/2,624.32
  6. Step 6: Final answer
    x = 3,457.39

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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.