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Finding the Fourth Proportional to 1,354.35, 1,867.28 and 1,285.23

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Solution

The fourth proportional to 1,354.35, 1,867.28 and 1,285.23 is: 1,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.35 : 1,867.28 = 1,285.23 : x
  2. Step 2: Convert to fraction form
    1,354.35/1,867.28 = 1,285.23/x
  3. Step 3: Cross multiply
    1,354.35x = 1,867.28 × 1,285.23
  4. Step 4: Simplify right side
    1,354.35x = 2,399,877.85
  5. Step 5: Solve for x
    x = 2,399,877.85/1,354.35
  6. Step 6: Final answer
    x = 1,771.98

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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.