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Finding the Fourth Proportional to 2,476.42, 3,714.63 and 832.90

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Solution

The fourth proportional to 2,476.42, 3,714.63 and 832.90 is: 1,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.42 : 3,714.63 = 832.90 : x
  2. Step 2: Convert to fraction form
    2,476.42/3,714.63 = 832.90/x
  3. Step 3: Cross multiply
    2,476.42x = 3,714.63 × 832.90
  4. Step 4: Simplify right side
    2,476.42x = 3,093,911.16
  5. Step 5: Solve for x
    x = 3,093,911.16/2,476.42
  6. Step 6: Final answer
    x = 1,249.35

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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.