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Finding the Fourth Proportional to 2,764.34, 3,816.63 and 2,125.15

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Solution

The fourth proportional to 2,764.34, 3,816.63 and 2,125.15 is: 2,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.34 : 3,816.63 = 2,125.15 : x
  2. Step 2: Convert to fraction form
    2,764.34/3,816.63 = 2,125.15/x
  3. Step 3: Cross multiply
    2,764.34x = 3,816.63 × 2,125.15
  4. Step 4: Simplify right side
    2,764.34x = 8,110,881.54
  5. Step 5: Solve for x
    x = 8,110,881.54/2,764.34
  6. Step 6: Final answer
    x = 2,934.11

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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.