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Finding the Fourth Proportional to 1,934.93, 2,670.16 and 1,138.34

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Solution

The fourth proportional to 1,934.93, 2,670.16 and 1,138.34 is: 1,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.93 : 2,670.16 = 1,138.34 : x
  2. Step 2: Convert to fraction form
    1,934.93/2,670.16 = 1,138.34/x
  3. Step 3: Cross multiply
    1,934.93x = 2,670.16 × 1,138.34
  4. Step 4: Simplify right side
    1,934.93x = 3,039,530.89
  5. Step 5: Solve for x
    x = 3,039,530.89/1,934.93
  6. Step 6: Final answer
    x = 1,570.88

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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.