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Finding the Fourth Proportional to 2,368.85, 3,553.34 and 1,827.63

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Solution

The fourth proportional to 2,368.85, 3,553.34 and 1,827.63 is: 2,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.85 : 3,553.34 = 1,827.63 : x
  2. Step 2: Convert to fraction form
    2,368.85/3,553.34 = 1,827.63/x
  3. Step 3: Cross multiply
    2,368.85x = 3,553.34 × 1,827.63
  4. Step 4: Simplify right side
    2,368.85x = 6,494,181.65
  5. Step 5: Solve for x
    x = 6,494,181.65/2,368.85
  6. Step 6: Final answer
    x = 2,741.50

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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.