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Finding the Fourth Proportional to 2,396.94, 3,307.01 and 1,348.80

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Solution

The fourth proportional to 2,396.94, 3,307.01 and 1,348.80 is: 1,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.94 : 3,307.01 = 1,348.80 : x
  2. Step 2: Convert to fraction form
    2,396.94/3,307.01 = 1,348.80/x
  3. Step 3: Cross multiply
    2,396.94x = 3,307.01 × 1,348.80
  4. Step 4: Simplify right side
    2,396.94x = 4,460,488.34
  5. Step 5: Solve for x
    x = 4,460,488.34/2,396.94
  6. Step 6: Final answer
    x = 1,860.91

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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.