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Finding the Fourth Proportional to 1,421.88, 1,961.46 and 854.40

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Solution

The fourth proportional to 1,421.88, 1,961.46 and 854.40 is: 1,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.88 : 1,961.46 = 854.40 : x
  2. Step 2: Convert to fraction form
    1,421.88/1,961.46 = 854.40/x
  3. Step 3: Cross multiply
    1,421.88x = 1,961.46 × 854.40
  4. Step 4: Simplify right side
    1,421.88x = 1,675,871.42
  5. Step 5: Solve for x
    x = 1,675,871.42/1,421.88
  6. Step 6: Final answer
    x = 1,178.63

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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.