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Finding the Fourth Proportional to 1,850.24, 2,771.64 and 877.28

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Solution

The fourth proportional to 1,850.24, 2,771.64 and 877.28 is: 1,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.24 : 2,771.64 = 877.28 : x
  2. Step 2: Convert to fraction form
    1,850.24/2,771.64 = 877.28/x
  3. Step 3: Cross multiply
    1,850.24x = 2,771.64 × 877.28
  4. Step 4: Simplify right side
    1,850.24x = 2,431,504.34
  5. Step 5: Solve for x
    x = 2,431,504.34/1,850.24
  6. Step 6: Final answer
    x = 1,314.16

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Why These Related Problems?

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