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Finding the Fourth Proportional to 1,832.04, 2,734.77 and 1,703.87

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Solution

The fourth proportional to 1,832.04, 2,734.77 and 1,703.87 is: 2,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.04 : 2,734.77 = 1,703.87 : x
  2. Step 2: Convert to fraction form
    1,832.04/2,734.77 = 1,703.87/x
  3. Step 3: Cross multiply
    1,832.04x = 2,734.77 × 1,703.87
  4. Step 4: Simplify right side
    1,832.04x = 4,659,678.89
  5. Step 5: Solve for x
    x = 4,659,678.89/1,832.04
  6. Step 6: Final answer
    x = 2,543.44

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