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Finding the Fourth Proportional to 2,476.11, 3,714.37 and 832.22

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Solution

The fourth proportional to 2,476.11, 3,714.37 and 832.22 is: 1,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.11 : 3,714.37 = 832.22 : x
  2. Step 2: Convert to fraction form
    2,476.11/3,714.37 = 832.22/x
  3. Step 3: Cross multiply
    2,476.11x = 3,714.37 × 832.22
  4. Step 4: Simplify right side
    2,476.11x = 3,091,152.35
  5. Step 5: Solve for x
    x = 3,091,152.35/2,476.11
  6. Step 6: Final answer
    x = 1,248.39

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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.