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Finding the Fourth Proportional to 2,045.12, 3,066 and 1,930.64

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Solution

The fourth proportional to 2,045.12, 3,066 and 1,930.64 is: 2,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.12 : 3,066 = 1,930.64 : x
  2. Step 2: Convert to fraction form
    2,045.12/3,066 = 1,930.64/x
  3. Step 3: Cross multiply
    2,045.12x = 3,066 × 1,930.64
  4. Step 4: Simplify right side
    2,045.12x = 5,919,342.24
  5. Step 5: Solve for x
    x = 5,919,342.24/2,045.12
  6. Step 6: Final answer
    x = 2,894.37

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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.