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Finding the Fourth Proportional to 2,476.19, 3,714.28 and 996.08

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Solution

The fourth proportional to 2,476.19, 3,714.28 and 996.08 is: 1,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.19 : 3,714.28 = 996.08 : x
  2. Step 2: Convert to fraction form
    2,476.19/3,714.28 = 996.08/x
  3. Step 3: Cross multiply
    2,476.19x = 3,714.28 × 996.08
  4. Step 4: Simplify right side
    2,476.19x = 3,699,726.82
  5. Step 5: Solve for x
    x = 3,699,726.82/2,476.19
  6. Step 6: Final answer
    x = 1,494.12

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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.