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Finding the Fourth Proportional to 2,546.84, 3,515.10 and 1,484.78

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Solution

The fourth proportional to 2,546.84, 3,515.10 and 1,484.78 is: 2,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.84 : 3,515.10 = 1,484.78 : x
  2. Step 2: Convert to fraction form
    2,546.84/3,515.10 = 1,484.78/x
  3. Step 3: Cross multiply
    2,546.84x = 3,515.10 × 1,484.78
  4. Step 4: Simplify right side
    2,546.84x = 5,219,150.18
  5. Step 5: Solve for x
    x = 5,219,150.18/2,546.84
  6. Step 6: Final answer
    x = 2,049.27

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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.