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Finding the Fourth Proportional to 1,888, 2,606.16 and 1,268.80

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Solution

The fourth proportional to 1,888, 2,606.16 and 1,268.80 is: 1,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888 : 2,606.16 = 1,268.80 : x
  2. Step 2: Convert to fraction form
    1,888/2,606.16 = 1,268.80/x
  3. Step 3: Cross multiply
    1,888x = 2,606.16 × 1,268.80
  4. Step 4: Simplify right side
    1,888x = 3,306,695.81
  5. Step 5: Solve for x
    x = 3,306,695.81/1,888
  6. Step 6: Final answer
    x = 1,751.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.