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Finding the Fourth Proportional to 2,396.49, 3,307.77 and 1,865.25

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Solution

The fourth proportional to 2,396.49, 3,307.77 and 1,865.25 is: 2,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.49 : 3,307.77 = 1,865.25 : x
  2. Step 2: Convert to fraction form
    2,396.49/3,307.77 = 1,865.25/x
  3. Step 3: Cross multiply
    2,396.49x = 3,307.77 × 1,865.25
  4. Step 4: Simplify right side
    2,396.49x = 6,169,792.13
  5. Step 5: Solve for x
    x = 6,169,792.13/2,396.49
  6. Step 6: Final answer
    x = 2,574.52

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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.