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Finding the Fourth Proportional to 3,146.58, 4,722.96 and 1,760.94

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Solution

The fourth proportional to 3,146.58, 4,722.96 and 1,760.94 is: 2,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.58 : 4,722.96 = 1,760.94 : x
  2. Step 2: Convert to fraction form
    3,146.58/4,722.96 = 1,760.94/x
  3. Step 3: Cross multiply
    3,146.58x = 4,722.96 × 1,760.94
  4. Step 4: Simplify right side
    3,146.58x = 8,316,849.18
  5. Step 5: Solve for x
    x = 8,316,849.18/3,146.58
  6. Step 6: Final answer
    x = 2,643.14

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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.