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Finding the Fourth Proportional to 2,632.24, 3,948.36 and 784.00

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Solution

The fourth proportional to 2,632.24, 3,948.36 and 784.00 is: 1,176.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.24 : 3,948.36 = 784.00 : x
  2. Step 2: Convert to fraction form
    2,632.24/3,948.36 = 784.00/x
  3. Step 3: Cross multiply
    2,632.24x = 3,948.36 × 784.00
  4. Step 4: Simplify right side
    2,632.24x = 3,095,504.37
  5. Step 5: Solve for x
    x = 3,095,504.37/2,632.24
  6. Step 6: Final answer
    x = 1,176.00

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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.