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Finding the Fourth Proportional to 2,683.44, 3,703.36 and 1,564.31

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Solution

The fourth proportional to 2,683.44, 3,703.36 and 1,564.31 is: 2,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.44 : 3,703.36 = 1,564.31 : x
  2. Step 2: Convert to fraction form
    2,683.44/3,703.36 = 1,564.31/x
  3. Step 3: Cross multiply
    2,683.44x = 3,703.36 × 1,564.31
  4. Step 4: Simplify right side
    2,683.44x = 5,793,203.08
  5. Step 5: Solve for x
    x = 5,793,203.08/2,683.44
  6. Step 6: Final answer
    x = 2,158.87

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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.