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Finding the Fourth Proportional to 2,852.84, 4,276.38 and 1,188.19

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Solution

The fourth proportional to 2,852.84, 4,276.38 and 1,188.19 is: 1,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.84 : 4,276.38 = 1,188.19 : x
  2. Step 2: Convert to fraction form
    2,852.84/4,276.38 = 1,188.19/x
  3. Step 3: Cross multiply
    2,852.84x = 4,276.38 × 1,188.19
  4. Step 4: Simplify right side
    2,852.84x = 5,081,151.95
  5. Step 5: Solve for x
    x = 5,081,151.95/2,852.84
  6. Step 6: Final answer
    x = 1,781.09

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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.