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Finding the Fourth Proportional to 2,434.51, 3,652.58 and 791.11

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Solution

The fourth proportional to 2,434.51, 3,652.58 and 791.11 is: 1,186.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.51 : 3,652.58 = 791.11 : x
  2. Step 2: Convert to fraction form
    2,434.51/3,652.58 = 791.11/x
  3. Step 3: Cross multiply
    2,434.51x = 3,652.58 × 791.11
  4. Step 4: Simplify right side
    2,434.51x = 2,889,592.56
  5. Step 5: Solve for x
    x = 2,889,592.56/2,434.51
  6. Step 6: Final answer
    x = 1,186.93

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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.