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Finding the Fourth Proportional to 1,717.32, 2,576.00 and 621.74

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Solution

The fourth proportional to 1,717.32, 2,576.00 and 621.74 is: 932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.32 : 2,576.00 = 621.74 : x
  2. Step 2: Convert to fraction form
    1,717.32/2,576.00 = 621.74/x
  3. Step 3: Cross multiply
    1,717.32x = 2,576.00 × 621.74
  4. Step 4: Simplify right side
    1,717.32x = 1,601,610.23
  5. Step 5: Solve for x
    x = 1,601,610.23/1,717.32
  6. Step 6: Final answer
    x = 932.62

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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.