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Finding the Fourth Proportional to 3,033.64, 4,549.48 and 1,184.30

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Solution

The fourth proportional to 3,033.64, 4,549.48 and 1,184.30 is: 1,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.64 : 4,549.48 = 1,184.30 : x
  2. Step 2: Convert to fraction form
    3,033.64/4,549.48 = 1,184.30/x
  3. Step 3: Cross multiply
    3,033.64x = 4,549.48 × 1,184.30
  4. Step 4: Simplify right side
    3,033.64x = 5,387,949.16
  5. Step 5: Solve for x
    x = 5,387,949.16/3,033.64
  6. Step 6: Final answer
    x = 1,776.07

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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.