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Finding the Fourth Proportional to 2,758.10, 3,807.26 and 1,874.41

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Solution

The fourth proportional to 2,758.10, 3,807.26 and 1,874.41 is: 2,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.10 : 3,807.26 = 1,874.41 : x
  2. Step 2: Convert to fraction form
    2,758.10/3,807.26 = 1,874.41/x
  3. Step 3: Cross multiply
    2,758.10x = 3,807.26 × 1,874.41
  4. Step 4: Simplify right side
    2,758.10x = 7,136,356.84
  5. Step 5: Solve for x
    x = 7,136,356.84/2,758.10
  6. Step 6: Final answer
    x = 2,587.42

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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.