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Finding the Fourth Proportional to 1,431.55, 2,147.34 and 786.37

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Solution

The fourth proportional to 1,431.55, 2,147.34 and 786.37 is: 1,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.55 : 2,147.34 = 786.37 : x
  2. Step 2: Convert to fraction form
    1,431.55/2,147.34 = 786.37/x
  3. Step 3: Cross multiply
    1,431.55x = 2,147.34 × 786.37
  4. Step 4: Simplify right side
    1,431.55x = 1,688,603.76
  5. Step 5: Solve for x
    x = 1,688,603.76/1,431.55
  6. Step 6: Final answer
    x = 1,179.56

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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.