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Finding the Fourth Proportional to 2,538.52, 3,502.98 and 1,419.51

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Solution

The fourth proportional to 2,538.52, 3,502.98 and 1,419.51 is: 1,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.52 : 3,502.98 = 1,419.51 : x
  2. Step 2: Convert to fraction form
    2,538.52/3,502.98 = 1,419.51/x
  3. Step 3: Cross multiply
    2,538.52x = 3,502.98 × 1,419.51
  4. Step 4: Simplify right side
    2,538.52x = 4,972,515.14
  5. Step 5: Solve for x
    x = 4,972,515.14/2,538.52
  6. Step 6: Final answer
    x = 1,958.82

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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.