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Finding the Fourth Proportional to 2,683.81, 3,703.43 and 1,564.86

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Solution

The fourth proportional to 2,683.81, 3,703.43 and 1,564.86 is: 2,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.81 : 3,703.43 = 1,564.86 : x
  2. Step 2: Convert to fraction form
    2,683.81/3,703.43 = 1,564.86/x
  3. Step 3: Cross multiply
    2,683.81x = 3,703.43 × 1,564.86
  4. Step 4: Simplify right side
    2,683.81x = 5,795,343.43
  5. Step 5: Solve for x
    x = 5,795,343.43/2,683.81
  6. Step 6: Final answer
    x = 2,159.37

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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.