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Finding the Fourth Proportional to 2,632.48, 3,948.69 and 684.67

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Solution

The fourth proportional to 2,632.48, 3,948.69 and 684.67 is: 1,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.48 : 3,948.69 = 684.67 : x
  2. Step 2: Convert to fraction form
    2,632.48/3,948.69 = 684.67/x
  3. Step 3: Cross multiply
    2,632.48x = 3,948.69 × 684.67
  4. Step 4: Simplify right side
    2,632.48x = 2,703,549.58
  5. Step 5: Solve for x
    x = 2,703,549.58/2,632.48
  6. Step 6: Final answer
    x = 1,027.00

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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.