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Finding the Fourth Proportional to 2,880.05, 4,320.16 and 800.06

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Solution

The fourth proportional to 2,880.05, 4,320.16 and 800.06 is: 1,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.05 : 4,320.16 = 800.06 : x
  2. Step 2: Convert to fraction form
    2,880.05/4,320.16 = 800.06/x
  3. Step 3: Cross multiply
    2,880.05x = 4,320.16 × 800.06
  4. Step 4: Simplify right side
    2,880.05x = 3,456,396.01
  5. Step 5: Solve for x
    x = 3,456,396.01/2,880.05
  6. Step 6: Final answer
    x = 1,200.12

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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.