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Finding the Fourth Proportional to 2,643.29, 3,648.13 and 1,524.01

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Solution

The fourth proportional to 2,643.29, 3,648.13 and 1,524.01 is: 2,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.29 : 3,648.13 = 1,524.01 : x
  2. Step 2: Convert to fraction form
    2,643.29/3,648.13 = 1,524.01/x
  3. Step 3: Cross multiply
    2,643.29x = 3,648.13 × 1,524.01
  4. Step 4: Simplify right side
    2,643.29x = 5,559,765.30
  5. Step 5: Solve for x
    x = 5,559,765.30/2,643.29
  6. Step 6: Final answer
    x = 2,103.35

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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.