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Finding the Fourth Proportional to 2,546.84, 3,821.56 and 1,160

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Solution

The fourth proportional to 2,546.84, 3,821.56 and 1,160 is: 1,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.84 : 3,821.56 = 1,160 : x
  2. Step 2: Convert to fraction form
    2,546.84/3,821.56 = 1,160/x
  3. Step 3: Cross multiply
    2,546.84x = 3,821.56 × 1,160
  4. Step 4: Simplify right side
    2,546.84x = 4,433,009.60
  5. Step 5: Solve for x
    x = 4,433,009.60/2,546.84
  6. Step 6: Final answer
    x = 1,740.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.