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Finding the Fourth Proportional to 1,858, 2,787.12 and 1,741.36

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Solution

The fourth proportional to 1,858, 2,787.12 and 1,741.36 is: 2,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858 : 2,787.12 = 1,741.36 : x
  2. Step 2: Convert to fraction form
    1,858/2,787.12 = 1,741.36/x
  3. Step 3: Cross multiply
    1,858x = 2,787.12 × 1,741.36
  4. Step 4: Simplify right side
    1,858x = 4,853,379.28
  5. Step 5: Solve for x
    x = 4,853,379.28/1,858
  6. Step 6: Final answer
    x = 2,612.15

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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.