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Finding the Fourth Proportional to 3,090.66, 4,639.77 and 1,630.68

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Solution

The fourth proportional to 3,090.66, 4,639.77 and 1,630.68 is: 2,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.66 : 4,639.77 = 1,630.68 : x
  2. Step 2: Convert to fraction form
    3,090.66/4,639.77 = 1,630.68/x
  3. Step 3: Cross multiply
    3,090.66x = 4,639.77 × 1,630.68
  4. Step 4: Simplify right side
    3,090.66x = 7,565,980.14
  5. Step 5: Solve for x
    x = 7,565,980.14/3,090.66
  6. Step 6: Final answer
    x = 2,448.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.