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Finding the Fourth Proportional to 2,842.02, 4,260.78 and 893.16

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Solution

The fourth proportional to 2,842.02, 4,260.78 and 893.16 is: 1,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.02 : 4,260.78 = 893.16 : x
  2. Step 2: Convert to fraction form
    2,842.02/4,260.78 = 893.16/x
  3. Step 3: Cross multiply
    2,842.02x = 4,260.78 × 893.16
  4. Step 4: Simplify right side
    2,842.02x = 3,805,558.26
  5. Step 5: Solve for x
    x = 3,805,558.26/2,842.02
  6. Step 6: Final answer
    x = 1,339.03

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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.