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Finding the Fourth Proportional to 1,805.66, 2,706.42 and 982.10

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Solution

The fourth proportional to 1,805.66, 2,706.42 and 982.10 is: 1,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.66 : 2,706.42 = 982.10 : x
  2. Step 2: Convert to fraction form
    1,805.66/2,706.42 = 982.10/x
  3. Step 3: Cross multiply
    1,805.66x = 2,706.42 × 982.10
  4. Step 4: Simplify right side
    1,805.66x = 2,657,975.08
  5. Step 5: Solve for x
    x = 2,657,975.08/1,805.66
  6. Step 6: Final answer
    x = 1,472.02

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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.