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Finding the Fourth Proportional to 2,858.03, 4,287.35 and 909.78

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Solution

The fourth proportional to 2,858.03, 4,287.35 and 909.78 is: 1,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.03 : 4,287.35 = 909.78 : x
  2. Step 2: Convert to fraction form
    2,858.03/4,287.35 = 909.78/x
  3. Step 3: Cross multiply
    2,858.03x = 4,287.35 × 909.78
  4. Step 4: Simplify right side
    2,858.03x = 3,900,519.30
  5. Step 5: Solve for x
    x = 3,900,519.30/2,858.03
  6. Step 6: Final answer
    x = 1,364.76

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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.