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Finding the Fourth Proportional to 1,576.89, 2,176.17 and 913.80

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Solution

The fourth proportional to 1,576.89, 2,176.17 and 913.80 is: 1,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.89 : 2,176.17 = 913.80 : x
  2. Step 2: Convert to fraction form
    1,576.89/2,176.17 = 913.80/x
  3. Step 3: Cross multiply
    1,576.89x = 2,176.17 × 913.80
  4. Step 4: Simplify right side
    1,576.89x = 1,988,584.15
  5. Step 5: Solve for x
    x = 1,988,584.15/1,576.89
  6. Step 6: Final answer
    x = 1,261.08

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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.