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Finding the Fourth Proportional to 2,964.03, 4,090.77 and 1,785.21

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Solution

The fourth proportional to 2,964.03, 4,090.77 and 1,785.21 is: 2,463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.03 : 4,090.77 = 1,785.21 : x
  2. Step 2: Convert to fraction form
    2,964.03/4,090.77 = 1,785.21/x
  3. Step 3: Cross multiply
    2,964.03x = 4,090.77 × 1,785.21
  4. Step 4: Simplify right side
    2,964.03x = 7,302,883.51
  5. Step 5: Solve for x
    x = 7,302,883.51/2,964.03
  6. Step 6: Final answer
    x = 2,463.84

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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.