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Finding the Fourth Proportional to 1,943.42, 2,681.25 and 1,353.74

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Solution

The fourth proportional to 1,943.42, 2,681.25 and 1,353.74 is: 1,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.42 : 2,681.25 = 1,353.74 : x
  2. Step 2: Convert to fraction form
    1,943.42/2,681.25 = 1,353.74/x
  3. Step 3: Cross multiply
    1,943.42x = 2,681.25 × 1,353.74
  4. Step 4: Simplify right side
    1,943.42x = 3,629,715.38
  5. Step 5: Solve for x
    x = 3,629,715.38/1,943.42
  6. Step 6: Final answer
    x = 1,867.69

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Why These Related Problems?

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