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Finding the Fourth Proportional to 1,892.52, 2,837.63 and 852.35

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Solution

The fourth proportional to 1,892.52, 2,837.63 and 852.35 is: 1,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.52 : 2,837.63 = 852.35 : x
  2. Step 2: Convert to fraction form
    1,892.52/2,837.63 = 852.35/x
  3. Step 3: Cross multiply
    1,892.52x = 2,837.63 × 852.35
  4. Step 4: Simplify right side
    1,892.52x = 2,418,635.48
  5. Step 5: Solve for x
    x = 2,418,635.48/1,892.52
  6. Step 6: Final answer
    x = 1,278.00

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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.