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Finding the Fourth Proportional to 1,431.13, 2,144.94 and 815.35

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Solution

The fourth proportional to 1,431.13, 2,144.94 and 815.35 is: 1,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.13 : 2,144.94 = 815.35 : x
  2. Step 2: Convert to fraction form
    1,431.13/2,144.94 = 815.35/x
  3. Step 3: Cross multiply
    1,431.13x = 2,144.94 × 815.35
  4. Step 4: Simplify right side
    1,431.13x = 1,748,876.83
  5. Step 5: Solve for x
    x = 1,748,876.83/1,431.13
  6. Step 6: Final answer
    x = 1,222.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.