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Finding the Fourth Proportional to 2,880.32, 4,320.48 and 828.32

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Solution

The fourth proportional to 2,880.32, 4,320.48 and 828.32 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.32 : 4,320.48 = 828.32 : x
  2. Step 2: Convert to fraction form
    2,880.32/4,320.48 = 828.32/x
  3. Step 3: Cross multiply
    2,880.32x = 4,320.48 × 828.32
  4. Step 4: Simplify right side
    2,880.32x = 3,578,739.99
  5. Step 5: Solve for x
    x = 3,578,739.99/2,880.32
  6. Step 6: Final answer
    x = 1,242.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.