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Finding the Fourth Proportional to 1,886.09, 2,826.14 and 1,267.52

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Solution

The fourth proportional to 1,886.09, 2,826.14 and 1,267.52 is: 1,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.09 : 2,826.14 = 1,267.52 : x
  2. Step 2: Convert to fraction form
    1,886.09/2,826.14 = 1,267.52/x
  3. Step 3: Cross multiply
    1,886.09x = 2,826.14 × 1,267.52
  4. Step 4: Simplify right side
    1,886.09x = 3,582,168.50
  5. Step 5: Solve for x
    x = 3,582,168.50/1,886.09
  6. Step 6: Final answer
    x = 1,899.26

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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.