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Finding the Fourth Proportional to 4,116.90, 6,175.95 and 1,342.89

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Solution

The fourth proportional to 4,116.90, 6,175.95 and 1,342.89 is: 2,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.90 : 6,175.95 = 1,342.89 : x
  2. Step 2: Convert to fraction form
    4,116.90/6,175.95 = 1,342.89/x
  3. Step 3: Cross multiply
    4,116.90x = 6,175.95 × 1,342.89
  4. Step 4: Simplify right side
    4,116.90x = 8,293,621.50
  5. Step 5: Solve for x
    x = 8,293,621.50/4,116.90
  6. Step 6: Final answer
    x = 2,014.53

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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.