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Finding the Fourth Proportional to 2,999.62, 4,495.78 and 1,537.98

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Solution

The fourth proportional to 2,999.62, 4,495.78 and 1,537.98 is: 2,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.62 : 4,495.78 = 1,537.98 : x
  2. Step 2: Convert to fraction form
    2,999.62/4,495.78 = 1,537.98/x
  3. Step 3: Cross multiply
    2,999.62x = 4,495.78 × 1,537.98
  4. Step 4: Simplify right side
    2,999.62x = 6,914,419.72
  5. Step 5: Solve for x
    x = 6,914,419.72/2,999.62
  6. Step 6: Final answer
    x = 2,305.10

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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.