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Finding the Fourth Proportional to 2,437.63, 3,361.10 and 2,306.31

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Solution

The fourth proportional to 2,437.63, 3,361.10 and 2,306.31 is: 3,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.63 : 3,361.10 = 2,306.31 : x
  2. Step 2: Convert to fraction form
    2,437.63/3,361.10 = 2,306.31/x
  3. Step 3: Cross multiply
    2,437.63x = 3,361.10 × 2,306.31
  4. Step 4: Simplify right side
    2,437.63x = 7,751,714.41
  5. Step 5: Solve for x
    x = 7,751,714.41/2,437.63
  6. Step 6: Final answer
    x = 3,180.02

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1.5x scale

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.