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Finding the Fourth Proportional to 3,454.95, 5,184.33 and 1,606.95

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Solution

The fourth proportional to 3,454.95, 5,184.33 and 1,606.95 is: 2,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.95 : 5,184.33 = 1,606.95 : x
  2. Step 2: Convert to fraction form
    3,454.95/5,184.33 = 1,606.95/x
  3. Step 3: Cross multiply
    3,454.95x = 5,184.33 × 1,606.95
  4. Step 4: Simplify right side
    3,454.95x = 8,330,959.09
  5. Step 5: Solve for x
    x = 8,330,959.09/3,454.95
  6. Step 6: Final answer
    x = 2,411.31

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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.