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Finding the Fourth Proportional to 1,745.90, 2,406.53 and 1,602.83

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Solution

The fourth proportional to 1,745.90, 2,406.53 and 1,602.83 is: 2,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.90 : 2,406.53 = 1,602.83 : x
  2. Step 2: Convert to fraction form
    1,745.90/2,406.53 = 1,602.83/x
  3. Step 3: Cross multiply
    1,745.90x = 2,406.53 × 1,602.83
  4. Step 4: Simplify right side
    1,745.90x = 3,857,258.48
  5. Step 5: Solve for x
    x = 3,857,258.48/1,745.90
  6. Step 6: Final answer
    x = 2,209.33

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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.