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Finding the Fourth Proportional to 2,295.46, 3,442.38 and 996.63

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Solution

The fourth proportional to 2,295.46, 3,442.38 and 996.63 is: 1,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.46 : 3,442.38 = 996.63 : x
  2. Step 2: Convert to fraction form
    2,295.46/3,442.38 = 996.63/x
  3. Step 3: Cross multiply
    2,295.46x = 3,442.38 × 996.63
  4. Step 4: Simplify right side
    2,295.46x = 3,430,779.18
  5. Step 5: Solve for x
    x = 3,430,779.18/2,295.46
  6. Step 6: Final answer
    x = 1,494.59

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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.