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Finding the Fourth Proportional to 3,122.00, 4,681.77 and 1,342.89

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Solution

The fourth proportional to 3,122.00, 4,681.77 and 1,342.89 is: 2,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.00 : 4,681.77 = 1,342.89 : x
  2. Step 2: Convert to fraction form
    3,122.00/4,681.77 = 1,342.89/x
  3. Step 3: Cross multiply
    3,122.00x = 4,681.77 × 1,342.89
  4. Step 4: Simplify right side
    3,122.00x = 6,287,102.12
  5. Step 5: Solve for x
    x = 6,287,102.12/3,122.00
  6. Step 6: Final answer
    x = 2,013.81

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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.