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Finding the Fourth Proportional to 2,319.92, 3,199.44 and 2,024.60

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Solution

The fourth proportional to 2,319.92, 3,199.44 and 2,024.60 is: 2,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.92 : 3,199.44 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    2,319.92/3,199.44 = 2,024.60/x
  3. Step 3: Cross multiply
    2,319.92x = 3,199.44 × 2,024.60
  4. Step 4: Simplify right side
    2,319.92x = 6,477,586.22
  5. Step 5: Solve for x
    x = 6,477,586.22/2,319.92
  6. Step 6: Final answer
    x = 2,792.16

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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.