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Finding the Fourth Proportional to 1,537.98, 2,122.26 and 874.74

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Solution

The fourth proportional to 1,537.98, 2,122.26 and 874.74 is: 1,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.98 : 2,122.26 = 874.74 : x
  2. Step 2: Convert to fraction form
    1,537.98/2,122.26 = 874.74/x
  3. Step 3: Cross multiply
    1,537.98x = 2,122.26 × 874.74
  4. Step 4: Simplify right side
    1,537.98x = 1,856,425.71
  5. Step 5: Solve for x
    x = 1,856,425.71/1,537.98
  6. Step 6: Final answer
    x = 1,207.05

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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.