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Finding the Fourth Proportional to 2,534.96, 3,821.13 and 2,324.35

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Solution

The fourth proportional to 2,534.96, 3,821.13 and 2,324.35 is: 3,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.96 : 3,821.13 = 2,324.35 : x
  2. Step 2: Convert to fraction form
    2,534.96/3,821.13 = 2,324.35/x
  3. Step 3: Cross multiply
    2,534.96x = 3,821.13 × 2,324.35
  4. Step 4: Simplify right side
    2,534.96x = 8,881,643.52
  5. Step 5: Solve for x
    x = 8,881,643.52/2,534.96
  6. Step 6: Final answer
    x = 3,503.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.