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Finding the Fourth Proportional to 1,447.84, 2,166.72 and 1,184.80

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Solution

The fourth proportional to 1,447.84, 2,166.72 and 1,184.80 is: 1,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.84 : 2,166.72 = 1,184.80 : x
  2. Step 2: Convert to fraction form
    1,447.84/2,166.72 = 1,184.80/x
  3. Step 3: Cross multiply
    1,447.84x = 2,166.72 × 1,184.80
  4. Step 4: Simplify right side
    1,447.84x = 2,567,129.86
  5. Step 5: Solve for x
    x = 2,567,129.86/1,447.84
  6. Step 6: Final answer
    x = 1,773.08

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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.