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Finding the Fourth Proportional to 1,745.60, 2,408.01 and 1,325.25

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Solution

The fourth proportional to 1,745.60, 2,408.01 and 1,325.25 is: 1,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.60 : 2,408.01 = 1,325.25 : x
  2. Step 2: Convert to fraction form
    1,745.60/2,408.01 = 1,325.25/x
  3. Step 3: Cross multiply
    1,745.60x = 2,408.01 × 1,325.25
  4. Step 4: Simplify right side
    1,745.60x = 3,191,215.25
  5. Step 5: Solve for x
    x = 3,191,215.25/1,745.60
  6. Step 6: Final answer
    x = 1,828.15

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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.