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Finding the Fourth Proportional to 2,880.66, 4,322.34 and 1,033.32

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Solution

The fourth proportional to 2,880.66, 4,322.34 and 1,033.32 is: 1,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.66 : 4,322.34 = 1,033.32 : x
  2. Step 2: Convert to fraction form
    2,880.66/4,322.34 = 1,033.32/x
  3. Step 3: Cross multiply
    2,880.66x = 4,322.34 × 1,033.32
  4. Step 4: Simplify right side
    2,880.66x = 4,466,360.37
  5. Step 5: Solve for x
    x = 4,466,360.37/2,880.66
  6. Step 6: Final answer
    x = 1,550.46

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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.