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Finding the Fourth Proportional to 2,348.24, 3,515.64 and 1,862

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Solution

The fourth proportional to 2,348.24, 3,515.64 and 1,862 is: 2,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.24 : 3,515.64 = 1,862 : x
  2. Step 2: Convert to fraction form
    2,348.24/3,515.64 = 1,862/x
  3. Step 3: Cross multiply
    2,348.24x = 3,515.64 × 1,862
  4. Step 4: Simplify right side
    2,348.24x = 6,546,121.68
  5. Step 5: Solve for x
    x = 6,546,121.68/2,348.24
  6. Step 6: Final answer
    x = 2,787.67

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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.