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Finding the Fourth Proportional to 1,573.16, 2,170.96 and 874.54

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Solution

The fourth proportional to 1,573.16, 2,170.96 and 874.54 is: 1,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.16 : 2,170.96 = 874.54 : x
  2. Step 2: Convert to fraction form
    1,573.16/2,170.96 = 874.54/x
  3. Step 3: Cross multiply
    1,573.16x = 2,170.96 × 874.54
  4. Step 4: Simplify right side
    1,573.16x = 1,898,576.13
  5. Step 5: Solve for x
    x = 1,898,576.13/1,573.16
  6. Step 6: Final answer
    x = 1,206.86

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Why These Related Problems?

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