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Finding the Fourth Proportional to 2,643.43, 3,647.55 and 1,524.20

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Solution

The fourth proportional to 2,643.43, 3,647.55 and 1,524.20 is: 2,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.43 : 3,647.55 = 1,524.20 : x
  2. Step 2: Convert to fraction form
    2,643.43/3,647.55 = 1,524.20/x
  3. Step 3: Cross multiply
    2,643.43x = 3,647.55 × 1,524.20
  4. Step 4: Simplify right side
    2,643.43x = 5,559,595.71
  5. Step 5: Solve for x
    x = 5,559,595.71/2,643.43
  6. Step 6: Final answer
    x = 2,103.18

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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.