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Finding the Fourth Proportional to 1,975.89, 2,959.74 and 1,606.84

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Solution

The fourth proportional to 1,975.89, 2,959.74 and 1,606.84 is: 2,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.89 : 2,959.74 = 1,606.84 : x
  2. Step 2: Convert to fraction form
    1,975.89/2,959.74 = 1,606.84/x
  3. Step 3: Cross multiply
    1,975.89x = 2,959.74 × 1,606.84
  4. Step 4: Simplify right side
    1,975.89x = 4,755,821.22
  5. Step 5: Solve for x
    x = 4,755,821.22/1,975.89
  6. Step 6: Final answer
    x = 2,406.92

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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.