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Finding the Fourth Proportional to 2,095.24, 2,891.03 and 1,349.02

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Solution

The fourth proportional to 2,095.24, 2,891.03 and 1,349.02 is: 1,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.24 : 2,891.03 = 1,349.02 : x
  2. Step 2: Convert to fraction form
    2,095.24/2,891.03 = 1,349.02/x
  3. Step 3: Cross multiply
    2,095.24x = 2,891.03 × 1,349.02
  4. Step 4: Simplify right side
    2,095.24x = 3,900,050.55
  5. Step 5: Solve for x
    x = 3,900,050.55/2,095.24
  6. Step 6: Final answer
    x = 1,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.