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Finding the Fourth Proportional to 2,546.76, 3,817.98 and 1,570.68

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Solution

The fourth proportional to 2,546.76, 3,817.98 and 1,570.68 is: 2,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.76 : 3,817.98 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    2,546.76/3,817.98 = 1,570.68/x
  3. Step 3: Cross multiply
    2,546.76x = 3,817.98 × 1,570.68
  4. Step 4: Simplify right side
    2,546.76x = 5,996,824.83
  5. Step 5: Solve for x
    x = 5,996,824.83/2,546.76
  6. Step 6: Final answer
    x = 2,354.69

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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.