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Finding the Fourth Proportional to 2,045.74, 3,066.45 and 1,305.88

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Solution

The fourth proportional to 2,045.74, 3,066.45 and 1,305.88 is: 1,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.74 : 3,066.45 = 1,305.88 : x
  2. Step 2: Convert to fraction form
    2,045.74/3,066.45 = 1,305.88/x
  3. Step 3: Cross multiply
    2,045.74x = 3,066.45 × 1,305.88
  4. Step 4: Simplify right side
    2,045.74x = 4,004,415.73
  5. Step 5: Solve for x
    x = 4,004,415.73/2,045.74
  6. Step 6: Final answer
    x = 1,957.44

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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.