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Finding the Fourth Proportional to 2,047.94, 3,072.51 and 877.31

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Solution

The fourth proportional to 2,047.94, 3,072.51 and 877.31 is: 1,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.94 : 3,072.51 = 877.31 : x
  2. Step 2: Convert to fraction form
    2,047.94/3,072.51 = 877.31/x
  3. Step 3: Cross multiply
    2,047.94x = 3,072.51 × 877.31
  4. Step 4: Simplify right side
    2,047.94x = 2,695,543.75
  5. Step 5: Solve for x
    x = 2,695,543.75/2,047.94
  6. Step 6: Final answer
    x = 1,316.22

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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.