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Finding the Fourth Proportional to 2,678.01, 4,016.33 and 1,800.02

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Solution

The fourth proportional to 2,678.01, 4,016.33 and 1,800.02 is: 2,699.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.01 : 4,016.33 = 1,800.02 : x
  2. Step 2: Convert to fraction form
    2,678.01/4,016.33 = 1,800.02/x
  3. Step 3: Cross multiply
    2,678.01x = 4,016.33 × 1,800.02
  4. Step 4: Simplify right side
    2,678.01x = 7,229,492.24
  5. Step 5: Solve for x
    x = 7,229,492.24/2,678.01
  6. Step 6: Final answer
    x = 2,699.57

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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.