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Finding the Fourth Proportional to 4,694.88, 7,041.76 and 1,184.88

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Solution

The fourth proportional to 4,694.88, 7,041.76 and 1,184.88 is: 1,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.88 : 7,041.76 = 1,184.88 : x
  2. Step 2: Convert to fraction form
    4,694.88/7,041.76 = 1,184.88/x
  3. Step 3: Cross multiply
    4,694.88x = 7,041.76 × 1,184.88
  4. Step 4: Simplify right side
    4,694.88x = 8,343,640.59
  5. Step 5: Solve for x
    x = 8,343,640.59/4,694.88
  6. Step 6: Final answer
    x = 1,777.18

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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.