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Finding the Fourth Proportional to 1,714.92, 2,366.82 and 1,051.66

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Solution

The fourth proportional to 1,714.92, 2,366.82 and 1,051.66 is: 1,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.92 : 2,366.82 = 1,051.66 : x
  2. Step 2: Convert to fraction form
    1,714.92/2,366.82 = 1,051.66/x
  3. Step 3: Cross multiply
    1,714.92x = 2,366.82 × 1,051.66
  4. Step 4: Simplify right side
    1,714.92x = 2,489,089.92
  5. Step 5: Solve for x
    x = 2,489,089.92/1,714.92
  6. Step 6: Final answer
    x = 1,451.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.