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Finding the Fourth Proportional to 2,553.33, 3,829.52 and 909.87

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Solution

The fourth proportional to 2,553.33, 3,829.52 and 909.87 is: 1,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.33 : 3,829.52 = 909.87 : x
  2. Step 2: Convert to fraction form
    2,553.33/3,829.52 = 909.87/x
  3. Step 3: Cross multiply
    2,553.33x = 3,829.52 × 909.87
  4. Step 4: Simplify right side
    2,553.33x = 3,484,360.81
  5. Step 5: Solve for x
    x = 3,484,360.81/2,553.33
  6. Step 6: Final answer
    x = 1,364.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.