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Finding the Fourth Proportional to 3,037.65, 4,192.29 and 1,918.53

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Solution

The fourth proportional to 3,037.65, 4,192.29 and 1,918.53 is: 2,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.65 : 4,192.29 = 1,918.53 : x
  2. Step 2: Convert to fraction form
    3,037.65/4,192.29 = 1,918.53/x
  3. Step 3: Cross multiply
    3,037.65x = 4,192.29 × 1,918.53
  4. Step 4: Simplify right side
    3,037.65x = 8,043,034.13
  5. Step 5: Solve for x
    x = 8,043,034.13/3,037.65
  6. Step 6: Final answer
    x = 2,647.78

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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.