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Finding the Fourth Proportional to 2,516.06, 3,773.99 and 761.00

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Solution

The fourth proportional to 2,516.06, 3,773.99 and 761.00 is: 1,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.06 : 3,773.99 = 761.00 : x
  2. Step 2: Convert to fraction form
    2,516.06/3,773.99 = 761.00/x
  3. Step 3: Cross multiply
    2,516.06x = 3,773.99 × 761.00
  4. Step 4: Simplify right side
    2,516.06x = 2,871,989.42
  5. Step 5: Solve for x
    x = 2,871,989.42/2,516.06
  6. Step 6: Final answer
    x = 1,141.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.