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Finding the Fourth Proportional to 1,946.08, 2,687.34 and 1,810

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Solution

The fourth proportional to 1,946.08, 2,687.34 and 1,810 is: 2,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.08 : 2,687.34 = 1,810 : x
  2. Step 2: Convert to fraction form
    1,946.08/2,687.34 = 1,810/x
  3. Step 3: Cross multiply
    1,946.08x = 2,687.34 × 1,810
  4. Step 4: Simplify right side
    1,946.08x = 4,864,085.40
  5. Step 5: Solve for x
    x = 4,864,085.40/1,946.08
  6. Step 6: Final answer
    x = 2,499.43

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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.