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Finding the Fourth Proportional to 4,095.66, 6,144.63 and 1,498.86

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Solution

The fourth proportional to 4,095.66, 6,144.63 and 1,498.86 is: 2,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.66 : 6,144.63 = 1,498.86 : x
  2. Step 2: Convert to fraction form
    4,095.66/6,144.63 = 1,498.86/x
  3. Step 3: Cross multiply
    4,095.66x = 6,144.63 × 1,498.86
  4. Step 4: Simplify right side
    4,095.66x = 9,209,940.12
  5. Step 5: Solve for x
    x = 9,209,940.12/4,095.66
  6. Step 6: Final answer
    x = 2,248.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.