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Finding the Fourth Proportional to 2,321.42, 3,483.12 and 1,022

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Solution

The fourth proportional to 2,321.42, 3,483.12 and 1,022 is: 1,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.42 : 3,483.12 = 1,022 : x
  2. Step 2: Convert to fraction form
    2,321.42/3,483.12 = 1,022/x
  3. Step 3: Cross multiply
    2,321.42x = 3,483.12 × 1,022
  4. Step 4: Simplify right side
    2,321.42x = 3,559,748.64
  5. Step 5: Solve for x
    x = 3,559,748.64/2,321.42
  6. Step 6: Final answer
    x = 1,533.44

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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.