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Finding the Fourth Proportional to 2,530.96, 3,493.56 and 1,483

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Solution

The fourth proportional to 2,530.96, 3,493.56 and 1,483 is: 2,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.96 : 3,493.56 = 1,483 : x
  2. Step 2: Convert to fraction form
    2,530.96/3,493.56 = 1,483/x
  3. Step 3: Cross multiply
    2,530.96x = 3,493.56 × 1,483
  4. Step 4: Simplify right side
    2,530.96x = 5,180,949.48
  5. Step 5: Solve for x
    x = 5,180,949.48/2,530.96
  6. Step 6: Final answer
    x = 2,047.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.