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Finding the Fourth Proportional to 2,697.20, 3,721.64 and 1,703.84

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Solution

The fourth proportional to 2,697.20, 3,721.64 and 1,703.84 is: 2,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.20 : 3,721.64 = 1,703.84 : x
  2. Step 2: Convert to fraction form
    2,697.20/3,721.64 = 1,703.84/x
  3. Step 3: Cross multiply
    2,697.20x = 3,721.64 × 1,703.84
  4. Step 4: Simplify right side
    2,697.20x = 6,341,079.10
  5. Step 5: Solve for x
    x = 6,341,079.10/2,697.20
  6. Step 6: Final answer
    x = 2,350.99

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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.