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Finding the Fourth Proportional to 2,164.93, 2,987.58 and 1,693.31

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Solution

The fourth proportional to 2,164.93, 2,987.58 and 1,693.31 is: 2,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.93 : 2,987.58 = 1,693.31 : x
  2. Step 2: Convert to fraction form
    2,164.93/2,987.58 = 1,693.31/x
  3. Step 3: Cross multiply
    2,164.93x = 2,987.58 × 1,693.31
  4. Step 4: Simplify right side
    2,164.93x = 5,058,890.50
  5. Step 5: Solve for x
    x = 5,058,890.50/2,164.93
  6. Step 6: Final answer
    x = 2,336.75

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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.