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Finding the Fourth Proportional to 2,242.50, 3,094.65 and 1,310.82

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Solution

The fourth proportional to 2,242.50, 3,094.65 and 1,310.82 is: 1,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.50 : 3,094.65 = 1,310.82 : x
  2. Step 2: Convert to fraction form
    2,242.50/3,094.65 = 1,310.82/x
  3. Step 3: Cross multiply
    2,242.50x = 3,094.65 × 1,310.82
  4. Step 4: Simplify right side
    2,242.50x = 4,056,529.11
  5. Step 5: Solve for x
    x = 4,056,529.11/2,242.50
  6. Step 6: Final answer
    x = 1,808.93

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Why These Related Problems?

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