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Finding the Fourth Proportional to 2,002.93, 2,762.91 and 1,412.44

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Solution

The fourth proportional to 2,002.93, 2,762.91 and 1,412.44 is: 1,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.93 : 2,762.91 = 1,412.44 : x
  2. Step 2: Convert to fraction form
    2,002.93/2,762.91 = 1,412.44/x
  3. Step 3: Cross multiply
    2,002.93x = 2,762.91 × 1,412.44
  4. Step 4: Simplify right side
    2,002.93x = 3,902,437.69
  5. Step 5: Solve for x
    x = 3,902,437.69/2,002.93
  6. Step 6: Final answer
    x = 1,948.37

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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.