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Finding the Fourth Proportional to 2,184.03, 3,276.05 and 723.29

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Solution

The fourth proportional to 2,184.03, 3,276.05 and 723.29 is: 1,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.03 : 3,276.05 = 723.29 : x
  2. Step 2: Convert to fraction form
    2,184.03/3,276.05 = 723.29/x
  3. Step 3: Cross multiply
    2,184.03x = 3,276.05 × 723.29
  4. Step 4: Simplify right side
    2,184.03x = 2,369,514.21
  5. Step 5: Solve for x
    x = 2,369,514.21/2,184.03
  6. Step 6: Final answer
    x = 1,084.93

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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.