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Finding the Fourth Proportional to 2,431.70, 3,647.60 and 788.25

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Solution

The fourth proportional to 2,431.70, 3,647.60 and 788.25 is: 1,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.70 : 3,647.60 = 788.25 : x
  2. Step 2: Convert to fraction form
    2,431.70/3,647.60 = 788.25/x
  3. Step 3: Cross multiply
    2,431.70x = 3,647.60 × 788.25
  4. Step 4: Simplify right side
    2,431.70x = 2,875,204.43
  5. Step 5: Solve for x
    x = 2,875,204.43/2,431.70
  6. Step 6: Final answer
    x = 1,182.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.