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Finding the Fourth Proportional to 1,777.13, 2,667.04 and 1,431.29

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Solution

The fourth proportional to 1,777.13, 2,667.04 and 1,431.29 is: 2,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.13 : 2,667.04 = 1,431.29 : x
  2. Step 2: Convert to fraction form
    1,777.13/2,667.04 = 1,431.29/x
  3. Step 3: Cross multiply
    1,777.13x = 2,667.04 × 1,431.29
  4. Step 4: Simplify right side
    1,777.13x = 3,817,307.68
  5. Step 5: Solve for x
    x = 3,817,307.68/1,777.13
  6. Step 6: Final answer
    x = 2,148.02

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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.