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Finding the Fourth Proportional to 3,414.58, 4,710.45 and 2,085.99

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Solution

The fourth proportional to 3,414.58, 4,710.45 and 2,085.99 is: 2,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.58 : 4,710.45 = 2,085.99 : x
  2. Step 2: Convert to fraction form
    3,414.58/4,710.45 = 2,085.99/x
  3. Step 3: Cross multiply
    3,414.58x = 4,710.45 × 2,085.99
  4. Step 4: Simplify right side
    3,414.58x = 9,825,951.60
  5. Step 5: Solve for x
    x = 9,825,951.60/3,414.58
  6. Step 6: Final answer
    x = 2,877.65

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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.