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Finding the Fourth Proportional to 2,294.94, 3,442.40 and 996.38

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Solution

The fourth proportional to 2,294.94, 3,442.40 and 996.38 is: 1,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.94 : 3,442.40 = 996.38 : x
  2. Step 2: Convert to fraction form
    2,294.94/3,442.40 = 996.38/x
  3. Step 3: Cross multiply
    2,294.94x = 3,442.40 × 996.38
  4. Step 4: Simplify right side
    2,294.94x = 3,429,938.51
  5. Step 5: Solve for x
    x = 3,429,938.51/2,294.94
  6. Step 6: Final answer
    x = 1,494.57

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1.5x scale

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.