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Finding the Fourth Proportional to 2,811.55, 3,880.71 and 1,633

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Solution

The fourth proportional to 2,811.55, 3,880.71 and 1,633 is: 2,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.55 : 3,880.71 = 1,633 : x
  2. Step 2: Convert to fraction form
    2,811.55/3,880.71 = 1,633/x
  3. Step 3: Cross multiply
    2,811.55x = 3,880.71 × 1,633
  4. Step 4: Simplify right side
    2,811.55x = 6,337,199.43
  5. Step 5: Solve for x
    x = 6,337,199.43/2,811.55
  6. Step 6: Final answer
    x = 2,253.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.