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Finding the Fourth Proportional to 1,299.16, 1,936.40 and 1,264.54

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Solution

The fourth proportional to 1,299.16, 1,936.40 and 1,264.54 is: 1,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.16 : 1,936.40 = 1,264.54 : x
  2. Step 2: Convert to fraction form
    1,299.16/1,936.40 = 1,264.54/x
  3. Step 3: Cross multiply
    1,299.16x = 1,936.40 × 1,264.54
  4. Step 4: Simplify right side
    1,299.16x = 2,448,655.26
  5. Step 5: Solve for x
    x = 2,448,655.26/1,299.16
  6. Step 6: Final answer
    x = 1,884.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.