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Finding the Fourth Proportional to 2,762.48, 4,140.08 and 2,028.64

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Solution

The fourth proportional to 2,762.48, 4,140.08 and 2,028.64 is: 3,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.48 : 4,140.08 = 2,028.64 : x
  2. Step 2: Convert to fraction form
    2,762.48/4,140.08 = 2,028.64/x
  3. Step 3: Cross multiply
    2,762.48x = 4,140.08 × 2,028.64
  4. Step 4: Simplify right side
    2,762.48x = 8,398,731.89
  5. Step 5: Solve for x
    x = 8,398,731.89/2,762.48
  6. Step 6: Final answer
    x = 3,040.29

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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.