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Finding the Fourth Proportional to 1,714.45, 2,364.79 and 1,042.09

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Solution

The fourth proportional to 1,714.45, 2,364.79 and 1,042.09 is: 1,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.45 : 2,364.79 = 1,042.09 : x
  2. Step 2: Convert to fraction form
    1,714.45/2,364.79 = 1,042.09/x
  3. Step 3: Cross multiply
    1,714.45x = 2,364.79 × 1,042.09
  4. Step 4: Simplify right side
    1,714.45x = 2,464,324.01
  5. Step 5: Solve for x
    x = 2,464,324.01/1,714.45
  6. Step 6: Final answer
    x = 1,437.38

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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.