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Finding the Fourth Proportional to 2,632.06, 3,948.00 and 783.18

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Solution

The fourth proportional to 2,632.06, 3,948.00 and 783.18 is: 1,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.06 : 3,948.00 = 783.18 : x
  2. Step 2: Convert to fraction form
    2,632.06/3,948.00 = 783.18/x
  3. Step 3: Cross multiply
    2,632.06x = 3,948.00 × 783.18
  4. Step 4: Simplify right side
    2,632.06x = 3,091,990.72
  5. Step 5: Solve for x
    x = 3,091,990.72/2,632.06
  6. Step 6: Final answer
    x = 1,174.74

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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.