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Finding the Fourth Proportional to 2,518.38, 3,776.40 and 874.44

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Solution

The fourth proportional to 2,518.38, 3,776.40 and 874.44 is: 1,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.38 : 3,776.40 = 874.44 : x
  2. Step 2: Convert to fraction form
    2,518.38/3,776.40 = 874.44/x
  3. Step 3: Cross multiply
    2,518.38x = 3,776.40 × 874.44
  4. Step 4: Simplify right side
    2,518.38x = 3,302,235.22
  5. Step 5: Solve for x
    x = 3,302,235.22/2,518.38
  6. Step 6: Final answer
    x = 1,311.25

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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.