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Finding the Fourth Proportional to 2,399.77, 3,307.90 and 1,768.28

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Solution

The fourth proportional to 2,399.77, 3,307.90 and 1,768.28 is: 2,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.77 : 3,307.90 = 1,768.28 : x
  2. Step 2: Convert to fraction form
    2,399.77/3,307.90 = 1,768.28/x
  3. Step 3: Cross multiply
    2,399.77x = 3,307.90 × 1,768.28
  4. Step 4: Simplify right side
    2,399.77x = 5,849,284.57
  5. Step 5: Solve for x
    x = 5,849,284.57/2,399.77
  6. Step 6: Final answer
    x = 2,437.44

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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.