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Finding the Fourth Proportional to 1,809.98, 2,714.97 and 944.18

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Solution

The fourth proportional to 1,809.98, 2,714.97 and 944.18 is: 1,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.98 : 2,714.97 = 944.18 : x
  2. Step 2: Convert to fraction form
    1,809.98/2,714.97 = 944.18/x
  3. Step 3: Cross multiply
    1,809.98x = 2,714.97 × 944.18
  4. Step 4: Simplify right side
    1,809.98x = 2,563,406.80
  5. Step 5: Solve for x
    x = 2,563,406.80/1,809.98
  6. Step 6: Final answer
    x = 1,416.27

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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.