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Finding the Fourth Proportional to 2,927.12, 4,390.64 and 735.86

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Solution

The fourth proportional to 2,927.12, 4,390.64 and 735.86 is: 1,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.12 : 4,390.64 = 735.86 : x
  2. Step 2: Convert to fraction form
    2,927.12/4,390.64 = 735.86/x
  3. Step 3: Cross multiply
    2,927.12x = 4,390.64 × 735.86
  4. Step 4: Simplify right side
    2,927.12x = 3,230,870.72
  5. Step 5: Solve for x
    x = 3,230,870.72/2,927.12
  6. Step 6: Final answer
    x = 1,103.77

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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.