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Finding the Fourth Proportional to 1,714.93, 2,367.05 and 1,006.87

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Solution

The fourth proportional to 1,714.93, 2,367.05 and 1,006.87 is: 1,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.93 : 2,367.05 = 1,006.87 : x
  2. Step 2: Convert to fraction form
    1,714.93/2,367.05 = 1,006.87/x
  3. Step 3: Cross multiply
    1,714.93x = 2,367.05 × 1,006.87
  4. Step 4: Simplify right side
    1,714.93x = 2,383,311.63
  5. Step 5: Solve for x
    x = 2,383,311.63/1,714.93
  6. Step 6: Final answer
    x = 1,389.74

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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.