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Finding the Fourth Proportional to 2,092.54, 2,888.52 and 1,570.09

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Solution

The fourth proportional to 2,092.54, 2,888.52 and 1,570.09 is: 2,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.54 : 2,888.52 = 1,570.09 : x
  2. Step 2: Convert to fraction form
    2,092.54/2,888.52 = 1,570.09/x
  3. Step 3: Cross multiply
    2,092.54x = 2,888.52 × 1,570.09
  4. Step 4: Simplify right side
    2,092.54x = 4,535,236.37
  5. Step 5: Solve for x
    x = 4,535,236.37/2,092.54
  6. Step 6: Final answer
    x = 2,167.34

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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.