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Finding the Fourth Proportional to 2,064.08, 2,849.48 and 1,443.28

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Solution

The fourth proportional to 2,064.08, 2,849.48 and 1,443.28 is: 1,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.08 : 2,849.48 = 1,443.28 : x
  2. Step 2: Convert to fraction form
    2,064.08/2,849.48 = 1,443.28/x
  3. Step 3: Cross multiply
    2,064.08x = 2,849.48 × 1,443.28
  4. Step 4: Simplify right side
    2,064.08x = 4,112,597.49
  5. Step 5: Solve for x
    x = 4,112,597.49/2,064.08
  6. Step 6: Final answer
    x = 1,992.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.