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Finding the Fourth Proportional to 2,627.84, 3,626.52 and 1,509

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Solution

The fourth proportional to 2,627.84, 3,626.52 and 1,509 is: 2,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.84 : 3,626.52 = 1,509 : x
  2. Step 2: Convert to fraction form
    2,627.84/3,626.52 = 1,509/x
  3. Step 3: Cross multiply
    2,627.84x = 3,626.52 × 1,509
  4. Step 4: Simplify right side
    2,627.84x = 5,472,418.68
  5. Step 5: Solve for x
    x = 5,472,418.68/2,627.84
  6. Step 6: Final answer
    x = 2,082.48

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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.