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Finding the Fourth Proportional to 1,530.30, 2,297.07 and 1,452.54

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Solution

The fourth proportional to 1,530.30, 2,297.07 and 1,452.54 is: 2,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.30 : 2,297.07 = 1,452.54 : x
  2. Step 2: Convert to fraction form
    1,530.30/2,297.07 = 1,452.54/x
  3. Step 3: Cross multiply
    1,530.30x = 2,297.07 × 1,452.54
  4. Step 4: Simplify right side
    1,530.30x = 3,336,586.06
  5. Step 5: Solve for x
    x = 3,336,586.06/1,530.30
  6. Step 6: Final answer
    x = 2,180.35

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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.