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Finding the Fourth Proportional to 1,745.65, 2,406.19 and 1,602.58

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Solution

The fourth proportional to 1,745.65, 2,406.19 and 1,602.58 is: 2,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.65 : 2,406.19 = 1,602.58 : x
  2. Step 2: Convert to fraction form
    1,745.65/2,406.19 = 1,602.58/x
  3. Step 3: Cross multiply
    1,745.65x = 2,406.19 × 1,602.58
  4. Step 4: Simplify right side
    1,745.65x = 3,856,103.96
  5. Step 5: Solve for x
    x = 3,856,103.96/1,745.65
  6. Step 6: Final answer
    x = 2,208.99

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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.