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Finding the Fourth Proportional to 2,064.49, 2,849.79 and 1,401.64

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Solution

The fourth proportional to 2,064.49, 2,849.79 and 1,401.64 is: 1,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.49 : 2,849.79 = 1,401.64 : x
  2. Step 2: Convert to fraction form
    2,064.49/2,849.79 = 1,401.64/x
  3. Step 3: Cross multiply
    2,064.49x = 2,849.79 × 1,401.64
  4. Step 4: Simplify right side
    2,064.49x = 3,994,379.66
  5. Step 5: Solve for x
    x = 3,994,379.66/2,064.49
  6. Step 6: Final answer
    x = 1,934.80

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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.