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Finding the Fourth Proportional to 1,931.77, 2,666.83 and 1,224.33

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Solution

The fourth proportional to 1,931.77, 2,666.83 and 1,224.33 is: 1,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.77 : 2,666.83 = 1,224.33 : x
  2. Step 2: Convert to fraction form
    1,931.77/2,666.83 = 1,224.33/x
  3. Step 3: Cross multiply
    1,931.77x = 2,666.83 × 1,224.33
  4. Step 4: Simplify right side
    1,931.77x = 3,265,084.21
  5. Step 5: Solve for x
    x = 3,265,084.21/1,931.77
  6. Step 6: Final answer
    x = 1,690.21

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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.