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Finding the Fourth Proportional to 2,135.07, 2,946.87 and 1,348.97

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Solution

The fourth proportional to 2,135.07, 2,946.87 and 1,348.97 is: 1,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.07 : 2,946.87 = 1,348.97 : x
  2. Step 2: Convert to fraction form
    2,135.07/2,946.87 = 1,348.97/x
  3. Step 3: Cross multiply
    2,135.07x = 2,946.87 × 1,348.97
  4. Step 4: Simplify right side
    2,135.07x = 3,975,224.49
  5. Step 5: Solve for x
    x = 3,975,224.49/2,135.07
  6. Step 6: Final answer
    x = 1,861.87

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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.