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Finding the Fourth Proportional to 2,434.62, 3,652.23 and 874.80

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Solution

The fourth proportional to 2,434.62, 3,652.23 and 874.80 is: 1,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.62 : 3,652.23 = 874.80 : x
  2. Step 2: Convert to fraction form
    2,434.62/3,652.23 = 874.80/x
  3. Step 3: Cross multiply
    2,434.62x = 3,652.23 × 874.80
  4. Step 4: Simplify right side
    2,434.62x = 3,194,970.80
  5. Step 5: Solve for x
    x = 3,194,970.80/2,434.62
  6. Step 6: Final answer
    x = 1,312.31

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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.