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Finding the Fourth Proportional to 2,756.09, 3,803.43 and 1,497.16

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Solution

The fourth proportional to 2,756.09, 3,803.43 and 1,497.16 is: 2,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.09 : 3,803.43 = 1,497.16 : x
  2. Step 2: Convert to fraction form
    2,756.09/3,803.43 = 1,497.16/x
  3. Step 3: Cross multiply
    2,756.09x = 3,803.43 × 1,497.16
  4. Step 4: Simplify right side
    2,756.09x = 5,694,324.24
  5. Step 5: Solve for x
    x = 5,694,324.24/2,756.09
  6. Step 6: Final answer
    x = 2,066.09

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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.