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Finding the Fourth Proportional to 2,117.58, 2,939.87 and 2,054.22

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Solution

The fourth proportional to 2,117.58, 2,939.87 and 2,054.22 is: 2,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.58 : 2,939.87 = 2,054.22 : x
  2. Step 2: Convert to fraction form
    2,117.58/2,939.87 = 2,054.22/x
  3. Step 3: Cross multiply
    2,117.58x = 2,939.87 × 2,054.22
  4. Step 4: Simplify right side
    2,117.58x = 6,039,129.48
  5. Step 5: Solve for x
    x = 6,039,129.48/2,117.58
  6. Step 6: Final answer
    x = 2,851.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.