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Finding the Fourth Proportional to 1,714.12, 2,563.86 and 1,054.37

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Solution

The fourth proportional to 1,714.12, 2,563.86 and 1,054.37 is: 1,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.12 : 2,563.86 = 1,054.37 : x
  2. Step 2: Convert to fraction form
    1,714.12/2,563.86 = 1,054.37/x
  3. Step 3: Cross multiply
    1,714.12x = 2,563.86 × 1,054.37
  4. Step 4: Simplify right side
    1,714.12x = 2,703,257.07
  5. Step 5: Solve for x
    x = 2,703,257.07/1,714.12
  6. Step 6: Final answer
    x = 1,577.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.