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Finding the Fourth Proportional to 2,354.51, 3,248.43 and 1,469.99

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Solution

The fourth proportional to 2,354.51, 3,248.43 and 1,469.99 is: 2,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.51 : 3,248.43 = 1,469.99 : x
  2. Step 2: Convert to fraction form
    2,354.51/3,248.43 = 1,469.99/x
  3. Step 3: Cross multiply
    2,354.51x = 3,248.43 × 1,469.99
  4. Step 4: Simplify right side
    2,354.51x = 4,775,159.62
  5. Step 5: Solve for x
    x = 4,775,159.62/2,354.51
  6. Step 6: Final answer
    x = 2,028.09

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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.