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Finding the Fourth Proportional to 1,896.61, 2,617.64 and 1,400.69

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Solution

The fourth proportional to 1,896.61, 2,617.64 and 1,400.69 is: 1,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.61 : 2,617.64 = 1,400.69 : x
  2. Step 2: Convert to fraction form
    1,896.61/2,617.64 = 1,400.69/x
  3. Step 3: Cross multiply
    1,896.61x = 2,617.64 × 1,400.69
  4. Step 4: Simplify right side
    1,896.61x = 3,666,489.08
  5. Step 5: Solve for x
    x = 3,666,489.08/1,896.61
  6. Step 6: Final answer
    x = 1,933.18

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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.