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Finding the Fourth Proportional to 1,759.66, 2,412.91 and 1,697.83

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Solution

The fourth proportional to 1,759.66, 2,412.91 and 1,697.83 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.66 : 2,412.91 = 1,697.83 : x
  2. Step 2: Convert to fraction form
    1,759.66/2,412.91 = 1,697.83/x
  3. Step 3: Cross multiply
    1,759.66x = 2,412.91 × 1,697.83
  4. Step 4: Simplify right side
    1,759.66x = 4,096,710.99
  5. Step 5: Solve for x
    x = 4,096,710.99/1,759.66
  6. Step 6: Final answer
    x = 2,328.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.