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Finding the Fourth Proportional to 2,534.94, 3,498.06 and 1,591.68

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Solution

The fourth proportional to 2,534.94, 3,498.06 and 1,591.68 is: 2,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.94 : 3,498.06 = 1,591.68 : x
  2. Step 2: Convert to fraction form
    2,534.94/3,498.06 = 1,591.68/x
  3. Step 3: Cross multiply
    2,534.94x = 3,498.06 × 1,591.68
  4. Step 4: Simplify right side
    2,534.94x = 5,567,792.14
  5. Step 5: Solve for x
    x = 5,567,792.14/2,534.94
  6. Step 6: Final answer
    x = 2,196.42

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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.