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Finding the Fourth Proportional to 1,918.29, 2,646.56 and 1,255.51

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Solution

The fourth proportional to 1,918.29, 2,646.56 and 1,255.51 is: 1,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.29 : 2,646.56 = 1,255.51 : x
  2. Step 2: Convert to fraction form
    1,918.29/2,646.56 = 1,255.51/x
  3. Step 3: Cross multiply
    1,918.29x = 2,646.56 × 1,255.51
  4. Step 4: Simplify right side
    1,918.29x = 3,322,779.07
  5. Step 5: Solve for x
    x = 3,322,779.07/1,918.29
  6. Step 6: Final answer
    x = 1,732.16

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