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Finding the Fourth Proportional to 2,396.19, 3,307.05 and 1,348.46

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Solution

The fourth proportional to 2,396.19, 3,307.05 and 1,348.46 is: 1,861.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.19 : 3,307.05 = 1,348.46 : x
  2. Step 2: Convert to fraction form
    2,396.19/3,307.05 = 1,348.46/x
  3. Step 3: Cross multiply
    2,396.19x = 3,307.05 × 1,348.46
  4. Step 4: Simplify right side
    2,396.19x = 4,459,408.11
  5. Step 5: Solve for x
    x = 4,459,408.11/2,396.19
  6. Step 6: Final answer
    x = 1,861.04

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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.