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Finding the Fourth Proportional to 2,396.88, 3,307.68 and 1,349.28

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Solution

The fourth proportional to 2,396.88, 3,307.68 and 1,349.28 is: 1,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.88 : 3,307.68 = 1,349.28 : x
  2. Step 2: Convert to fraction form
    2,396.88/3,307.68 = 1,349.28/x
  3. Step 3: Cross multiply
    2,396.88x = 3,307.68 × 1,349.28
  4. Step 4: Simplify right side
    2,396.88x = 4,462,986.47
  5. Step 5: Solve for x
    x = 4,462,986.47/2,396.88
  6. Step 6: Final answer
    x = 1,862.00

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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.