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Finding the Fourth Proportional to 2,643.93, 3,648.53 and 1,524.92

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Solution

The fourth proportional to 2,643.93, 3,648.53 and 1,524.92 is: 2,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.93 : 3,648.53 = 1,524.92 : x
  2. Step 2: Convert to fraction form
    2,643.93/3,648.53 = 1,524.92/x
  3. Step 3: Cross multiply
    2,643.93x = 3,648.53 × 1,524.92
  4. Step 4: Simplify right side
    2,643.93x = 5,563,690.50
  5. Step 5: Solve for x
    x = 5,563,690.50/2,643.93
  6. Step 6: Final answer
    x = 2,104.33

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Why These Related Problems?

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