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Finding the Fourth Proportional to 1,767.49, 2,651.64 and 946.56

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Solution

The fourth proportional to 1,767.49, 2,651.64 and 946.56 is: 1,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.49 : 2,651.64 = 946.56 : x
  2. Step 2: Convert to fraction form
    1,767.49/2,651.64 = 946.56/x
  3. Step 3: Cross multiply
    1,767.49x = 2,651.64 × 946.56
  4. Step 4: Simplify right side
    1,767.49x = 2,509,936.36
  5. Step 5: Solve for x
    x = 2,509,936.36/1,767.49
  6. Step 6: Final answer
    x = 1,420.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.