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Finding the Fourth Proportional to 2,111.01, 3,162.88 and 1,493.70

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Solution

The fourth proportional to 2,111.01, 3,162.88 and 1,493.70 is: 2,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.01 : 3,162.88 = 1,493.70 : x
  2. Step 2: Convert to fraction form
    2,111.01/3,162.88 = 1,493.70/x
  3. Step 3: Cross multiply
    2,111.01x = 3,162.88 × 1,493.70
  4. Step 4: Simplify right side
    2,111.01x = 4,724,393.86
  5. Step 5: Solve for x
    x = 4,724,393.86/2,111.01
  6. Step 6: Final answer
    x = 2,237.98

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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.