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Finding the Fourth Proportional to 3,100.98, 4,652.16 and 1,252.08

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Solution

The fourth proportional to 3,100.98, 4,652.16 and 1,252.08 is: 1,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.98 : 4,652.16 = 1,252.08 : x
  2. Step 2: Convert to fraction form
    3,100.98/4,652.16 = 1,252.08/x
  3. Step 3: Cross multiply
    3,100.98x = 4,652.16 × 1,252.08
  4. Step 4: Simplify right side
    3,100.98x = 5,824,876.49
  5. Step 5: Solve for x
    x = 5,824,876.49/3,100.98
  6. Step 6: Final answer
    x = 1,878.40

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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.