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Finding the Fourth Proportional to 3,406.95, 4,701.83 and 1,894.70

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Solution

The fourth proportional to 3,406.95, 4,701.83 and 1,894.70 is: 2,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.95 : 4,701.83 = 1,894.70 : x
  2. Step 2: Convert to fraction form
    3,406.95/4,701.83 = 1,894.70/x
  3. Step 3: Cross multiply
    3,406.95x = 4,701.83 × 1,894.70
  4. Step 4: Simplify right side
    3,406.95x = 8,908,559.58
  5. Step 5: Solve for x
    x = 8,908,559.58/3,406.95
  6. Step 6: Final answer
    x = 2,614.82

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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.