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Finding the Fourth Proportional to 2,858.64, 4,289.40 and 1,215.60

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Solution

The fourth proportional to 2,858.64, 4,289.40 and 1,215.60 is: 1,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.64 : 4,289.40 = 1,215.60 : x
  2. Step 2: Convert to fraction form
    2,858.64/4,289.40 = 1,215.60/x
  3. Step 3: Cross multiply
    2,858.64x = 4,289.40 × 1,215.60
  4. Step 4: Simplify right side
    2,858.64x = 5,214,194.64
  5. Step 5: Solve for x
    x = 5,214,194.64/2,858.64
  6. Step 6: Final answer
    x = 1,824.01

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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.