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Finding the Fourth Proportional to 2,880.28, 4,322.04 and 1,341.28

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Solution

The fourth proportional to 2,880.28, 4,322.04 and 1,341.28 is: 2,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.28 : 4,322.04 = 1,341.28 : x
  2. Step 2: Convert to fraction form
    2,880.28/4,322.04 = 1,341.28/x
  3. Step 3: Cross multiply
    2,880.28x = 4,322.04 × 1,341.28
  4. Step 4: Simplify right side
    2,880.28x = 5,797,065.81
  5. Step 5: Solve for x
    x = 5,797,065.81/2,880.28
  6. Step 6: Final answer
    x = 2,012.67

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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.