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Finding the Fourth Proportional to 1,421.42, 1,961.72 and 862.07

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Solution

The fourth proportional to 1,421.42, 1,961.72 and 862.07 is: 1,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.42 : 1,961.72 = 862.07 : x
  2. Step 2: Convert to fraction form
    1,421.42/1,961.72 = 862.07/x
  3. Step 3: Cross multiply
    1,421.42x = 1,961.72 × 862.07
  4. Step 4: Simplify right side
    1,421.42x = 1,691,139.96
  5. Step 5: Solve for x
    x = 1,691,139.96/1,421.42
  6. Step 6: Final answer
    x = 1,189.75

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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.