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Finding the Fourth Proportional to 2,575.89, 3,864.14 and 909.67

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Solution

The fourth proportional to 2,575.89, 3,864.14 and 909.67 is: 1,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.89 : 3,864.14 = 909.67 : x
  2. Step 2: Convert to fraction form
    2,575.89/3,864.14 = 909.67/x
  3. Step 3: Cross multiply
    2,575.89x = 3,864.14 × 909.67
  4. Step 4: Simplify right side
    2,575.89x = 3,515,104.67
  5. Step 5: Solve for x
    x = 3,515,104.67/2,575.89
  6. Step 6: Final answer
    x = 1,364.62

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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.