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Finding the Fourth Proportional to 1,872.36, 2,804.90 and 1,377.86

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Solution

The fourth proportional to 1,872.36, 2,804.90 and 1,377.86 is: 2,064.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.36 : 2,804.90 = 1,377.86 : x
  2. Step 2: Convert to fraction form
    1,872.36/2,804.90 = 1,377.86/x
  3. Step 3: Cross multiply
    1,872.36x = 2,804.90 × 1,377.86
  4. Step 4: Simplify right side
    1,872.36x = 3,864,759.51
  5. Step 5: Solve for x
    x = 3,864,759.51/1,872.36
  6. Step 6: Final answer
    x = 2,064.11

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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.