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Finding the Fourth Proportional to 1,645.57, 2,267.03 and 1,147.31

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Solution

The fourth proportional to 1,645.57, 2,267.03 and 1,147.31 is: 1,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.57 : 2,267.03 = 1,147.31 : x
  2. Step 2: Convert to fraction form
    1,645.57/2,267.03 = 1,147.31/x
  3. Step 3: Cross multiply
    1,645.57x = 2,267.03 × 1,147.31
  4. Step 4: Simplify right side
    1,645.57x = 2,600,986.19
  5. Step 5: Solve for x
    x = 2,600,986.19/1,645.57
  6. Step 6: Final answer
    x = 1,580.60

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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.