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Finding the Fourth Proportional to 1,833.03, 2,734.09 and 1,778.49

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Solution

The fourth proportional to 1,833.03, 2,734.09 and 1,778.49 is: 2,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.03 : 2,734.09 = 1,778.49 : x
  2. Step 2: Convert to fraction form
    1,833.03/2,734.09 = 1,778.49/x
  3. Step 3: Cross multiply
    1,833.03x = 2,734.09 × 1,778.49
  4. Step 4: Simplify right side
    1,833.03x = 4,862,547.28
  5. Step 5: Solve for x
    x = 4,862,547.28/1,833.03
  6. Step 6: Final answer
    x = 2,652.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.