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Finding the Fourth Proportional to 4,612.80, 6,922.53 and 1,837.87

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Solution

The fourth proportional to 4,612.80, 6,922.53 and 1,837.87 is: 2,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.80 : 6,922.53 = 1,837.87 : x
  2. Step 2: Convert to fraction form
    4,612.80/6,922.53 = 1,837.87/x
  3. Step 3: Cross multiply
    4,612.80x = 6,922.53 × 1,837.87
  4. Step 4: Simplify right side
    4,612.80x = 12,722,666.41
  5. Step 5: Solve for x
    x = 12,722,666.41/4,612.80
  6. Step 6: Final answer
    x = 2,758.12

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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.