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Finding the Fourth Proportional to 2,095.47, 2,890.08 and 1,349.49

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Solution

The fourth proportional to 2,095.47, 2,890.08 and 1,349.49 is: 1,861.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.47 : 2,890.08 = 1,349.49 : x
  2. Step 2: Convert to fraction form
    2,095.47/2,890.08 = 1,349.49/x
  3. Step 3: Cross multiply
    2,095.47x = 2,890.08 × 1,349.49
  4. Step 4: Simplify right side
    2,095.47x = 3,900,134.06
  5. Step 5: Solve for x
    x = 3,900,134.06/2,095.47
  6. Step 6: Final answer
    x = 1,861.22

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