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Finding the Fourth Proportional to 2,478.65, 3,717.77 and 835.16

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Solution

The fourth proportional to 2,478.65, 3,717.77 and 835.16 is: 1,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.65 : 3,717.77 = 835.16 : x
  2. Step 2: Convert to fraction form
    2,478.65/3,717.77 = 835.16/x
  3. Step 3: Cross multiply
    2,478.65x = 3,717.77 × 835.16
  4. Step 4: Simplify right side
    2,478.65x = 3,104,910.03
  5. Step 5: Solve for x
    x = 3,104,910.03/2,478.65
  6. Step 6: Final answer
    x = 1,252.66

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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.