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Finding the Fourth Proportional to 1,361.08, 1,886.87 and 1,287.16

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Solution

The fourth proportional to 1,361.08, 1,886.87 and 1,287.16 is: 1,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.08 : 1,886.87 = 1,287.16 : x
  2. Step 2: Convert to fraction form
    1,361.08/1,886.87 = 1,287.16/x
  3. Step 3: Cross multiply
    1,361.08x = 1,886.87 × 1,287.16
  4. Step 4: Simplify right side
    1,361.08x = 2,428,703.59
  5. Step 5: Solve for x
    x = 2,428,703.59/1,361.08
  6. Step 6: Final answer
    x = 1,784.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.