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Finding the Fourth Proportional to 2,138.44, 3,203.34 and 1,700.38

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Solution

The fourth proportional to 2,138.44, 3,203.34 and 1,700.38 is: 2,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.44 : 3,203.34 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    2,138.44/3,203.34 = 1,700.38/x
  3. Step 3: Cross multiply
    2,138.44x = 3,203.34 × 1,700.38
  4. Step 4: Simplify right side
    2,138.44x = 5,446,895.27
  5. Step 5: Solve for x
    x = 5,446,895.27/2,138.44
  6. Step 6: Final answer
    x = 2,547.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.