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Finding the Fourth Proportional to 1,977.22, 2,963.72 and 1,051.86

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Solution

The fourth proportional to 1,977.22, 2,963.72 and 1,051.86 is: 1,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.22 : 2,963.72 = 1,051.86 : x
  2. Step 2: Convert to fraction form
    1,977.22/2,963.72 = 1,051.86/x
  3. Step 3: Cross multiply
    1,977.22x = 2,963.72 × 1,051.86
  4. Step 4: Simplify right side
    1,977.22x = 3,117,418.52
  5. Step 5: Solve for x
    x = 3,117,418.52/1,977.22
  6. Step 6: Final answer
    x = 1,576.67

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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.