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Finding the Fourth Proportional to 1,576.53, 2,174.17 and 1,261.82

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Solution

The fourth proportional to 1,576.53, 2,174.17 and 1,261.82 is: 1,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.53 : 2,174.17 = 1,261.82 : x
  2. Step 2: Convert to fraction form
    1,576.53/2,174.17 = 1,261.82/x
  3. Step 3: Cross multiply
    1,576.53x = 2,174.17 × 1,261.82
  4. Step 4: Simplify right side
    1,576.53x = 2,743,402.60
  5. Step 5: Solve for x
    x = 2,743,402.60/1,576.53
  6. Step 6: Final answer
    x = 1,740.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.