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Finding the Fourth Proportional to 2,858.49, 4,287.70 and 1,079.90

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Solution

The fourth proportional to 2,858.49, 4,287.70 and 1,079.90 is: 1,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.49 : 4,287.70 = 1,079.90 : x
  2. Step 2: Convert to fraction form
    2,858.49/4,287.70 = 1,079.90/x
  3. Step 3: Cross multiply
    2,858.49x = 4,287.70 × 1,079.90
  4. Step 4: Simplify right side
    2,858.49x = 4,630,283.22
  5. Step 5: Solve for x
    x = 4,630,283.22/2,858.49
  6. Step 6: Final answer
    x = 1,619.84

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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.