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Finding the Fourth Proportional to 2,145.66, 3,216.44 and 683.87

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Solution

The fourth proportional to 2,145.66, 3,216.44 and 683.87 is: 1,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.66 : 3,216.44 = 683.87 : x
  2. Step 2: Convert to fraction form
    2,145.66/3,216.44 = 683.87/x
  3. Step 3: Cross multiply
    2,145.66x = 3,216.44 × 683.87
  4. Step 4: Simplify right side
    2,145.66x = 2,199,607.32
  5. Step 5: Solve for x
    x = 2,199,607.32/2,145.66
  6. Step 6: Final answer
    x = 1,025.14

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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.