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Finding the Fourth Proportional to 2,242.98, 3,364.64 and 683.11

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Solution

The fourth proportional to 2,242.98, 3,364.64 and 683.11 is: 1,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.98 : 3,364.64 = 683.11 : x
  2. Step 2: Convert to fraction form
    2,242.98/3,364.64 = 683.11/x
  3. Step 3: Cross multiply
    2,242.98x = 3,364.64 × 683.11
  4. Step 4: Simplify right side
    2,242.98x = 2,298,422.98
  5. Step 5: Solve for x
    x = 2,298,422.98/2,242.98
  6. Step 6: Final answer
    x = 1,024.72

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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.