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Finding the Fourth Proportional to 2,755.84, 3,803.00 and 1,496.87

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Solution

The fourth proportional to 2,755.84, 3,803.00 and 1,496.87 is: 2,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.84 : 3,803.00 = 1,496.87 : x
  2. Step 2: Convert to fraction form
    2,755.84/3,803.00 = 1,496.87/x
  3. Step 3: Cross multiply
    2,755.84x = 3,803.00 × 1,496.87
  4. Step 4: Simplify right side
    2,755.84x = 5,692,570.11
  5. Step 5: Solve for x
    x = 5,692,570.11/2,755.84
  6. Step 6: Final answer
    x = 2,065.64

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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.