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Finding the Fourth Proportional to 2,326.10, 3,486.80 and 1,027.34

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Solution

The fourth proportional to 2,326.10, 3,486.80 and 1,027.34 is: 1,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.10 : 3,486.80 = 1,027.34 : x
  2. Step 2: Convert to fraction form
    2,326.10/3,486.80 = 1,027.34/x
  3. Step 3: Cross multiply
    2,326.10x = 3,486.80 × 1,027.34
  4. Step 4: Simplify right side
    2,326.10x = 3,582,129.11
  5. Step 5: Solve for x
    x = 3,582,129.11/2,326.10
  6. Step 6: Final answer
    x = 1,539.97

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