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Finding the Fourth Proportional to 2,984.66, 4,118.53 and 1,743.38

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Solution

The fourth proportional to 2,984.66, 4,118.53 and 1,743.38 is: 2,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.66 : 4,118.53 = 1,743.38 : x
  2. Step 2: Convert to fraction form
    2,984.66/4,118.53 = 1,743.38/x
  3. Step 3: Cross multiply
    2,984.66x = 4,118.53 × 1,743.38
  4. Step 4: Simplify right side
    2,984.66x = 7,180,162.83
  5. Step 5: Solve for x
    x = 7,180,162.83/2,984.66
  6. Step 6: Final answer
    x = 2,405.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.