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Finding the Fourth Proportional to 2,064.74, 2,849.45 and 1,278.63

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Solution

The fourth proportional to 2,064.74, 2,849.45 and 1,278.63 is: 1,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.74 : 2,849.45 = 1,278.63 : x
  2. Step 2: Convert to fraction form
    2,064.74/2,849.45 = 1,278.63/x
  3. Step 3: Cross multiply
    2,064.74x = 2,849.45 × 1,278.63
  4. Step 4: Simplify right side
    2,064.74x = 3,643,385.86
  5. Step 5: Solve for x
    x = 3,643,385.86/2,064.74
  6. Step 6: Final answer
    x = 1,764.58

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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.