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Finding the Fourth Proportional to 2,104.83, 3,157.28 and 1,491.86

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Solution

The fourth proportional to 2,104.83, 3,157.28 and 1,491.86 is: 2,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.83 : 3,157.28 = 1,491.86 : x
  2. Step 2: Convert to fraction form
    2,104.83/3,157.28 = 1,491.86/x
  3. Step 3: Cross multiply
    2,104.83x = 3,157.28 × 1,491.86
  4. Step 4: Simplify right side
    2,104.83x = 4,710,225.77
  5. Step 5: Solve for x
    x = 4,710,225.77/2,104.83
  6. Step 6: Final answer
    x = 2,237.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.