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Finding the Fourth Proportional to 2,561.46, 3,533.10 and 2,069.40

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Solution

The fourth proportional to 2,561.46, 3,533.10 and 2,069.40 is: 2,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.46 : 3,533.10 = 2,069.40 : x
  2. Step 2: Convert to fraction form
    2,561.46/3,533.10 = 2,069.40/x
  3. Step 3: Cross multiply
    2,561.46x = 3,533.10 × 2,069.40
  4. Step 4: Simplify right side
    2,561.46x = 7,311,397.14
  5. Step 5: Solve for x
    x = 7,311,397.14/2,561.46
  6. Step 6: Final answer
    x = 2,854.39

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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.