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Finding the Fourth Proportional to 2,002.16, 2,762.99 and 1,118.00

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Solution

The fourth proportional to 2,002.16, 2,762.99 and 1,118.00 is: 1,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.16 : 2,762.99 = 1,118.00 : x
  2. Step 2: Convert to fraction form
    2,002.16/2,762.99 = 1,118.00/x
  3. Step 3: Cross multiply
    2,002.16x = 2,762.99 × 1,118.00
  4. Step 4: Simplify right side
    2,002.16x = 3,089,003.42
  5. Step 5: Solve for x
    x = 3,089,003.42/2,002.16
  6. Step 6: Final answer
    x = 1,542.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.