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Finding the Fourth Proportional to 2,807.41, 3,874.17 and 1,548.58

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Solution

The fourth proportional to 2,807.41, 3,874.17 and 1,548.58 is: 2,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.41 : 3,874.17 = 1,548.58 : x
  2. Step 2: Convert to fraction form
    2,807.41/3,874.17 = 1,548.58/x
  3. Step 3: Cross multiply
    2,807.41x = 3,874.17 × 1,548.58
  4. Step 4: Simplify right side
    2,807.41x = 5,999,442.81
  5. Step 5: Solve for x
    x = 5,999,442.81/2,807.41
  6. Step 6: Final answer
    x = 2,137.01

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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.