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Finding the Fourth Proportional to 2,089.44, 2,883.60 and 1,392

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Solution

The fourth proportional to 2,089.44, 2,883.60 and 1,392 is: 1,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.44 : 2,883.60 = 1,392 : x
  2. Step 2: Convert to fraction form
    2,089.44/2,883.60 = 1,392/x
  3. Step 3: Cross multiply
    2,089.44x = 2,883.60 × 1,392
  4. Step 4: Simplify right side
    2,089.44x = 4,013,971.20
  5. Step 5: Solve for x
    x = 4,013,971.20/2,089.44
  6. Step 6: Final answer
    x = 1,921.08

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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.