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Finding the Fourth Proportional to 2,078.90, 2,868.63 and 1,147.34

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Solution

The fourth proportional to 2,078.90, 2,868.63 and 1,147.34 is: 1,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.90 : 2,868.63 = 1,147.34 : x
  2. Step 2: Convert to fraction form
    2,078.90/2,868.63 = 1,147.34/x
  3. Step 3: Cross multiply
    2,078.90x = 2,868.63 × 1,147.34
  4. Step 4: Simplify right side
    2,078.90x = 3,291,293.94
  5. Step 5: Solve for x
    x = 3,291,293.94/2,078.90
  6. Step 6: Final answer
    x = 1,583.19

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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.