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Finding the Fourth Proportional to 1,853.87, 2,781.25 and 555.32

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Solution

The fourth proportional to 1,853.87, 2,781.25 and 555.32 is: 833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.87 : 2,781.25 = 555.32 : x
  2. Step 2: Convert to fraction form
    1,853.87/2,781.25 = 555.32/x
  3. Step 3: Cross multiply
    1,853.87x = 2,781.25 × 555.32
  4. Step 4: Simplify right side
    1,853.87x = 1,544,489.31
  5. Step 5: Solve for x
    x = 1,544,489.31/1,853.87
  6. Step 6: Final answer
    x = 833.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.