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Finding the Fourth Proportional to 2,643.96, 3,648.19 and 1,524.94

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Solution

The fourth proportional to 2,643.96, 3,648.19 and 1,524.94 is: 2,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.96 : 3,648.19 = 1,524.94 : x
  2. Step 2: Convert to fraction form
    2,643.96/3,648.19 = 1,524.94/x
  3. Step 3: Cross multiply
    2,643.96x = 3,648.19 × 1,524.94
  4. Step 4: Simplify right side
    2,643.96x = 5,563,270.86
  5. Step 5: Solve for x
    x = 5,563,270.86/2,643.96
  6. Step 6: Final answer
    x = 2,104.14

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1.5x scale

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.