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Finding the Fourth Proportional to 3,390.40, 5,085.63 and 1,634.99

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Solution

The fourth proportional to 3,390.40, 5,085.63 and 1,634.99 is: 2,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.40 : 5,085.63 = 1,634.99 : x
  2. Step 2: Convert to fraction form
    3,390.40/5,085.63 = 1,634.99/x
  3. Step 3: Cross multiply
    3,390.40x = 5,085.63 × 1,634.99
  4. Step 4: Simplify right side
    3,390.40x = 8,314,966.91
  5. Step 5: Solve for x
    x = 8,314,966.91/3,390.40
  6. Step 6: Final answer
    x = 2,452.51

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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.