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Finding the Fourth Proportional to 2,378.81, 3,569.39 and 1,147.26

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Solution

The fourth proportional to 2,378.81, 3,569.39 and 1,147.26 is: 1,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.81 : 3,569.39 = 1,147.26 : x
  2. Step 2: Convert to fraction form
    2,378.81/3,569.39 = 1,147.26/x
  3. Step 3: Cross multiply
    2,378.81x = 3,569.39 × 1,147.26
  4. Step 4: Simplify right side
    2,378.81x = 4,095,012.64
  5. Step 5: Solve for x
    x = 4,095,012.64/2,378.81
  6. Step 6: Final answer
    x = 1,721.46

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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.