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Finding the Fourth Proportional to 3,145.83, 4,720.56 and 1,296.60

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Solution

The fourth proportional to 3,145.83, 4,720.56 and 1,296.60 is: 1,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.83 : 4,720.56 = 1,296.60 : x
  2. Step 2: Convert to fraction form
    3,145.83/4,720.56 = 1,296.60/x
  3. Step 3: Cross multiply
    3,145.83x = 4,720.56 × 1,296.60
  4. Step 4: Simplify right side
    3,145.83x = 6,120,678.10
  5. Step 5: Solve for x
    x = 6,120,678.10/3,145.83
  6. Step 6: Final answer
    x = 1,945.65

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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.