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Finding the Fourth Proportional to 1,853.96, 2,557.25 and 1,107.33

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Solution

The fourth proportional to 1,853.96, 2,557.25 and 1,107.33 is: 1,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.96 : 2,557.25 = 1,107.33 : x
  2. Step 2: Convert to fraction form
    1,853.96/2,557.25 = 1,107.33/x
  3. Step 3: Cross multiply
    1,853.96x = 2,557.25 × 1,107.33
  4. Step 4: Simplify right side
    1,853.96x = 2,831,714.11
  5. Step 5: Solve for x
    x = 2,831,714.11/1,853.96
  6. Step 6: Final answer
    x = 1,527.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.