Home / 1,827.08-2,741.31-1,097.18

Finding the Fourth Proportional to 1,827.08, 2,741.31 and 1,097.18

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Solution

The fourth proportional to 1,827.08, 2,741.31 and 1,097.18 is: 1,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.08 : 2,741.31 = 1,097.18 : x
  2. Step 2: Convert to fraction form
    1,827.08/2,741.31 = 1,097.18/x
  3. Step 3: Cross multiply
    1,827.08x = 2,741.31 × 1,097.18
  4. Step 4: Simplify right side
    1,827.08x = 3,007,717.36
  5. Step 5: Solve for x
    x = 3,007,717.36/1,827.08
  6. Step 6: Final answer
    x = 1,646.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.