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Finding the Fourth Proportional to 4,095.90, 6,144.12 and 1,498.50

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Solution

The fourth proportional to 4,095.90, 6,144.12 and 1,498.50 is: 2,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.90 : 6,144.12 = 1,498.50 : x
  2. Step 2: Convert to fraction form
    4,095.90/6,144.12 = 1,498.50/x
  3. Step 3: Cross multiply
    4,095.90x = 6,144.12 × 1,498.50
  4. Step 4: Simplify right side
    4,095.90x = 9,206,963.82
  5. Step 5: Solve for x
    x = 9,206,963.82/4,095.90
  6. Step 6: Final answer
    x = 2,247.85

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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.