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Finding the Fourth Proportional to 3,026.01, 4,175.86 and 1,699.83

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Solution

The fourth proportional to 3,026.01, 4,175.86 and 1,699.83 is: 2,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.01 : 4,175.86 = 1,699.83 : x
  2. Step 2: Convert to fraction form
    3,026.01/4,175.86 = 1,699.83/x
  3. Step 3: Cross multiply
    3,026.01x = 4,175.86 × 1,699.83
  4. Step 4: Simplify right side
    3,026.01x = 7,098,252.10
  5. Step 5: Solve for x
    x = 7,098,252.10/3,026.01
  6. Step 6: Final answer
    x = 2,345.75

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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.