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Finding the Fourth Proportional to 2,884.95, 4,328.43 and 910.88

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Solution

The fourth proportional to 2,884.95, 4,328.43 and 910.88 is: 1,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.95 : 4,328.43 = 910.88 : x
  2. Step 2: Convert to fraction form
    2,884.95/4,328.43 = 910.88/x
  3. Step 3: Cross multiply
    2,884.95x = 4,328.43 × 910.88
  4. Step 4: Simplify right side
    2,884.95x = 3,942,675.76
  5. Step 5: Solve for x
    x = 3,942,675.76/2,884.95
  6. Step 6: Final answer
    x = 1,366.64

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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.