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Finding the Fourth Proportional to 2,066.86, 2,852.34 and 1,182.74

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Solution

The fourth proportional to 2,066.86, 2,852.34 and 1,182.74 is: 1,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.86 : 2,852.34 = 1,182.74 : x
  2. Step 2: Convert to fraction form
    2,066.86/2,852.34 = 1,182.74/x
  3. Step 3: Cross multiply
    2,066.86x = 2,852.34 × 1,182.74
  4. Step 4: Simplify right side
    2,066.86x = 3,373,583.74
  5. Step 5: Solve for x
    x = 3,373,583.74/2,066.86
  6. Step 6: Final answer
    x = 1,632.23

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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.