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Finding the Fourth Proportional to 2,697.00, 4,039.62 and 1,461.80

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Solution

The fourth proportional to 2,697.00, 4,039.62 and 1,461.80 is: 2,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.00 : 4,039.62 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    2,697.00/4,039.62 = 1,461.80/x
  3. Step 3: Cross multiply
    2,697.00x = 4,039.62 × 1,461.80
  4. Step 4: Simplify right side
    2,697.00x = 5,905,106.63
  5. Step 5: Solve for x
    x = 5,905,106.63/2,697.00
  6. Step 6: Final answer
    x = 2,189.51

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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.