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Finding the Fourth Proportional to 2,967.64, 4,450.75 and 1,580.72

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Solution

The fourth proportional to 2,967.64, 4,450.75 and 1,580.72 is: 2,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.64 : 4,450.75 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    2,967.64/4,450.75 = 1,580.72/x
  3. Step 3: Cross multiply
    2,967.64x = 4,450.75 × 1,580.72
  4. Step 4: Simplify right side
    2,967.64x = 7,035,363.33
  5. Step 5: Solve for x
    x = 7,035,363.33/2,967.64
  6. Step 6: Final answer
    x = 2,370.69

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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.