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Finding the Fourth Proportional to 2,733.84, 3,770.46 and 1,848.24

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Solution

The fourth proportional to 2,733.84, 3,770.46 and 1,848.24 is: 2,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.84 : 3,770.46 = 1,848.24 : x
  2. Step 2: Convert to fraction form
    2,733.84/3,770.46 = 1,848.24/x
  3. Step 3: Cross multiply
    2,733.84x = 3,770.46 × 1,848.24
  4. Step 4: Simplify right side
    2,733.84x = 6,968,714.99
  5. Step 5: Solve for x
    x = 6,968,714.99/2,733.84
  6. Step 6: Final answer
    x = 2,549.06

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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.