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Finding the Fourth Proportional to 2,516.10, 3,774.23 and 761.11

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Solution

The fourth proportional to 2,516.10, 3,774.23 and 761.11 is: 1,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.10 : 3,774.23 = 761.11 : x
  2. Step 2: Convert to fraction form
    2,516.10/3,774.23 = 761.11/x
  3. Step 3: Cross multiply
    2,516.10x = 3,774.23 × 761.11
  4. Step 4: Simplify right side
    2,516.10x = 2,872,615.04
  5. Step 5: Solve for x
    x = 2,872,615.04/2,516.10
  6. Step 6: Final answer
    x = 1,141.70

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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.