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Finding the Fourth Proportional to 2,880.25, 4,320.38 and 828.25

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Solution

The fourth proportional to 2,880.25, 4,320.38 and 828.25 is: 1,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.25 : 4,320.38 = 828.25 : x
  2. Step 2: Convert to fraction form
    2,880.25/4,320.38 = 828.25/x
  3. Step 3: Cross multiply
    2,880.25x = 4,320.38 × 828.25
  4. Step 4: Simplify right side
    2,880.25x = 3,578,354.74
  5. Step 5: Solve for x
    x = 3,578,354.74/2,880.25
  6. Step 6: Final answer
    x = 1,242.38

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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.