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Finding the Fourth Proportional to 2,756.40, 3,803.84 and 1,577.51

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Solution

The fourth proportional to 2,756.40, 3,803.84 and 1,577.51 is: 2,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.40 : 3,803.84 = 1,577.51 : x
  2. Step 2: Convert to fraction form
    2,756.40/3,803.84 = 1,577.51/x
  3. Step 3: Cross multiply
    2,756.40x = 3,803.84 × 1,577.51
  4. Step 4: Simplify right side
    2,756.40x = 6,000,568.73
  5. Step 5: Solve for x
    x = 6,000,568.73/2,756.40
  6. Step 6: Final answer
    x = 2,176.96

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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.