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Finding the Fourth Proportional to 1,576.76, 2,175.78 and 947.48

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Solution

The fourth proportional to 1,576.76, 2,175.78 and 947.48 is: 1,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.76 : 2,175.78 = 947.48 : x
  2. Step 2: Convert to fraction form
    1,576.76/2,175.78 = 947.48/x
  3. Step 3: Cross multiply
    1,576.76x = 2,175.78 × 947.48
  4. Step 4: Simplify right side
    1,576.76x = 2,061,508.03
  5. Step 5: Solve for x
    x = 2,061,508.03/1,576.76
  6. Step 6: Final answer
    x = 1,307.43

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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.