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Finding the Fourth Proportional to 3,160.94, 4,742.01 and 1,080.86

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Solution

The fourth proportional to 3,160.94, 4,742.01 and 1,080.86 is: 1,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.94 : 4,742.01 = 1,080.86 : x
  2. Step 2: Convert to fraction form
    3,160.94/4,742.01 = 1,080.86/x
  3. Step 3: Cross multiply
    3,160.94x = 4,742.01 × 1,080.86
  4. Step 4: Simplify right side
    3,160.94x = 5,125,448.93
  5. Step 5: Solve for x
    x = 5,125,448.93/3,160.94
  6. Step 6: Final answer
    x = 1,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.