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Finding the Fourth Proportional to 1,985.18, 2,976.91 and 874.57

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Solution

The fourth proportional to 1,985.18, 2,976.91 and 874.57 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.18 : 2,976.91 = 874.57 : x
  2. Step 2: Convert to fraction form
    1,985.18/2,976.91 = 874.57/x
  3. Step 3: Cross multiply
    1,985.18x = 2,976.91 × 874.57
  4. Step 4: Simplify right side
    1,985.18x = 2,603,516.18
  5. Step 5: Solve for x
    x = 2,603,516.18/1,985.18
  6. Step 6: Final answer
    x = 1,311.48

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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.