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Finding the Fourth Proportional to 2,112.03, 2,914.72 and 1,272.99

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Solution

The fourth proportional to 2,112.03, 2,914.72 and 1,272.99 is: 1,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.03 : 2,914.72 = 1,272.99 : x
  2. Step 2: Convert to fraction form
    2,112.03/2,914.72 = 1,272.99/x
  3. Step 3: Cross multiply
    2,112.03x = 2,914.72 × 1,272.99
  4. Step 4: Simplify right side
    2,112.03x = 3,710,409.41
  5. Step 5: Solve for x
    x = 3,710,409.41/2,112.03
  6. Step 6: Final answer
    x = 1,756.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.