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Finding the Fourth Proportional to 1,683.63, 2,525.04 and 805.59

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Solution

The fourth proportional to 1,683.63, 2,525.04 and 805.59 is: 1,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.63 : 2,525.04 = 805.59 : x
  2. Step 2: Convert to fraction form
    1,683.63/2,525.04 = 805.59/x
  3. Step 3: Cross multiply
    1,683.63x = 2,525.04 × 805.59
  4. Step 4: Simplify right side
    1,683.63x = 2,034,146.97
  5. Step 5: Solve for x
    x = 2,034,146.97/1,683.63
  6. Step 6: Final answer
    x = 1,208.19

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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.