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Finding the Fourth Proportional to 1,447.02, 1,992.36 and 1,278.84

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Solution

The fourth proportional to 1,447.02, 1,992.36 and 1,278.84 is: 1,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.02 : 1,992.36 = 1,278.84 : x
  2. Step 2: Convert to fraction form
    1,447.02/1,992.36 = 1,278.84/x
  3. Step 3: Cross multiply
    1,447.02x = 1,992.36 × 1,278.84
  4. Step 4: Simplify right side
    1,447.02x = 2,547,909.66
  5. Step 5: Solve for x
    x = 2,547,909.66/1,447.02
  6. Step 6: Final answer
    x = 1,760.80

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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.