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Finding the Fourth Proportional to 2,433.72, 3,647.80 and 971.16

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Solution

The fourth proportional to 2,433.72, 3,647.80 and 971.16 is: 1,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.72 : 3,647.80 = 971.16 : x
  2. Step 2: Convert to fraction form
    2,433.72/3,647.80 = 971.16/x
  3. Step 3: Cross multiply
    2,433.72x = 3,647.80 × 971.16
  4. Step 4: Simplify right side
    2,433.72x = 3,542,597.45
  5. Step 5: Solve for x
    x = 3,542,597.45/2,433.72
  6. Step 6: Final answer
    x = 1,455.63

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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.