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Finding the Fourth Proportional to 2,092.70, 2,887.92 and 1,148.51

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Solution

The fourth proportional to 2,092.70, 2,887.92 and 1,148.51 is: 1,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.70 : 2,887.92 = 1,148.51 : x
  2. Step 2: Convert to fraction form
    2,092.70/2,887.92 = 1,148.51/x
  3. Step 3: Cross multiply
    2,092.70x = 2,887.92 × 1,148.51
  4. Step 4: Simplify right side
    2,092.70x = 3,316,805.00
  5. Step 5: Solve for x
    x = 3,316,805.00/2,092.70
  6. Step 6: Final answer
    x = 1,584.94

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