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Finding the Fourth Proportional to 2,537.70, 3,804.92 and 1,076.46

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Solution

The fourth proportional to 2,537.70, 3,804.92 and 1,076.46 is: 1,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.70 : 3,804.92 = 1,076.46 : x
  2. Step 2: Convert to fraction form
    2,537.70/3,804.92 = 1,076.46/x
  3. Step 3: Cross multiply
    2,537.70x = 3,804.92 × 1,076.46
  4. Step 4: Simplify right side
    2,537.70x = 4,095,844.18
  5. Step 5: Solve for x
    x = 4,095,844.18/2,537.70
  6. Step 6: Final answer
    x = 1,614.00

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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.