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Finding the Fourth Proportional to 1,914.17, 2,872.07 and 1,047.47

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Solution

The fourth proportional to 1,914.17, 2,872.07 and 1,047.47 is: 1,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.17 : 2,872.07 = 1,047.47 : x
  2. Step 2: Convert to fraction form
    1,914.17/2,872.07 = 1,047.47/x
  3. Step 3: Cross multiply
    1,914.17x = 2,872.07 × 1,047.47
  4. Step 4: Simplify right side
    1,914.17x = 3,008,407.16
  5. Step 5: Solve for x
    x = 3,008,407.16/1,914.17
  6. Step 6: Final answer
    x = 1,571.65

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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.