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Finding the Fourth Proportional to 2,534.65, 3,489.76 and 2,235.65

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Solution

The fourth proportional to 2,534.65, 3,489.76 and 2,235.65 is: 3,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.65 : 3,489.76 = 2,235.65 : x
  2. Step 2: Convert to fraction form
    2,534.65/3,489.76 = 2,235.65/x
  3. Step 3: Cross multiply
    2,534.65x = 3,489.76 × 2,235.65
  4. Step 4: Simplify right side
    2,534.65x = 7,801,881.94
  5. Step 5: Solve for x
    x = 7,801,881.94/2,534.65
  6. Step 6: Final answer
    x = 3,078.09

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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.