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Finding the Fourth Proportional to 1,921.77, 2,651.72 and 1,136.07

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Solution

The fourth proportional to 1,921.77, 2,651.72 and 1,136.07 is: 1,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.77 : 2,651.72 = 1,136.07 : x
  2. Step 2: Convert to fraction form
    1,921.77/2,651.72 = 1,136.07/x
  3. Step 3: Cross multiply
    1,921.77x = 2,651.72 × 1,136.07
  4. Step 4: Simplify right side
    1,921.77x = 3,012,533.86
  5. Step 5: Solve for x
    x = 3,012,533.86/1,921.77
  6. Step 6: Final answer
    x = 1,567.58

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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.