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Finding the Fourth Proportional to 1,883.22, 2,826.51 and 1,306.50

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Solution

The fourth proportional to 1,883.22, 2,826.51 and 1,306.50 is: 1,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.22 : 2,826.51 = 1,306.50 : x
  2. Step 2: Convert to fraction form
    1,883.22/2,826.51 = 1,306.50/x
  3. Step 3: Cross multiply
    1,883.22x = 2,826.51 × 1,306.50
  4. Step 4: Simplify right side
    1,883.22x = 3,692,835.32
  5. Step 5: Solve for x
    x = 3,692,835.32/1,883.22
  6. Step 6: Final answer
    x = 1,960.92

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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.