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Finding the Fourth Proportional to 2,769.93, 4,148.91 and 1,730.16

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Solution

The fourth proportional to 2,769.93, 4,148.91 and 1,730.16 is: 2,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.93 : 4,148.91 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    2,769.93/4,148.91 = 1,730.16/x
  3. Step 3: Cross multiply
    2,769.93x = 4,148.91 × 1,730.16
  4. Step 4: Simplify right side
    2,769.93x = 7,178,278.13
  5. Step 5: Solve for x
    x = 7,178,278.13/2,769.93
  6. Step 6: Final answer
    x = 2,591.50

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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.