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Finding the Fourth Proportional to 1,361.36, 2,045.28 and 1,264.16

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Solution

The fourth proportional to 1,361.36, 2,045.28 and 1,264.16 is: 1,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.36 : 2,045.28 = 1,264.16 : x
  2. Step 2: Convert to fraction form
    1,361.36/2,045.28 = 1,264.16/x
  3. Step 3: Cross multiply
    1,361.36x = 2,045.28 × 1,264.16
  4. Step 4: Simplify right side
    1,361.36x = 2,585,561.16
  5. Step 5: Solve for x
    x = 2,585,561.16/1,361.36
  6. Step 6: Final answer
    x = 1,899.25

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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.