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Finding the Fourth Proportional to 1,546.84, 2,130.78 and 1,251.28

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Solution

The fourth proportional to 1,546.84, 2,130.78 and 1,251.28 is: 1,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.84 : 2,130.78 = 1,251.28 : x
  2. Step 2: Convert to fraction form
    1,546.84/2,130.78 = 1,251.28/x
  3. Step 3: Cross multiply
    1,546.84x = 2,130.78 × 1,251.28
  4. Step 4: Simplify right side
    1,546.84x = 2,666,202.40
  5. Step 5: Solve for x
    x = 2,666,202.40/1,546.84
  6. Step 6: Final answer
    x = 1,723.64

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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.