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Finding the Fourth Proportional to 4,041.63, 6,059.50 and 1,266.80

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Solution

The fourth proportional to 4,041.63, 6,059.50 and 1,266.80 is: 1,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.63 : 6,059.50 = 1,266.80 : x
  2. Step 2: Convert to fraction form
    4,041.63/6,059.50 = 1,266.80/x
  3. Step 3: Cross multiply
    4,041.63x = 6,059.50 × 1,266.80
  4. Step 4: Simplify right side
    4,041.63x = 7,676,141.14
  5. Step 5: Solve for x
    x = 7,676,141.14/4,041.63
  6. Step 6: Final answer
    x = 1,899.27

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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.