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Finding the Fourth Proportional to 1,397.42, 1,931.13 and 1,131.33

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Solution

The fourth proportional to 1,397.42, 1,931.13 and 1,131.33 is: 1,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.42 : 1,931.13 = 1,131.33 : x
  2. Step 2: Convert to fraction form
    1,397.42/1,931.13 = 1,131.33/x
  3. Step 3: Cross multiply
    1,397.42x = 1,931.13 × 1,131.33
  4. Step 4: Simplify right side
    1,397.42x = 2,184,745.30
  5. Step 5: Solve for x
    x = 2,184,745.30/1,397.42
  6. Step 6: Final answer
    x = 1,563.42

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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.