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Finding the Fourth Proportional to 2,541.78, 3,812.79 and 788.00

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Solution

The fourth proportional to 2,541.78, 3,812.79 and 788.00 is: 1,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.78 : 3,812.79 = 788.00 : x
  2. Step 2: Convert to fraction form
    2,541.78/3,812.79 = 788.00/x
  3. Step 3: Cross multiply
    2,541.78x = 3,812.79 × 788.00
  4. Step 4: Simplify right side
    2,541.78x = 3,004,459.46
  5. Step 5: Solve for x
    x = 3,004,459.46/2,541.78
  6. Step 6: Final answer
    x = 1,182.03

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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.