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Finding the Fourth Proportional to 2,011.86, 2,769.55 and 1,730.45

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Solution

The fourth proportional to 2,011.86, 2,769.55 and 1,730.45 is: 2,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.86 : 2,769.55 = 1,730.45 : x
  2. Step 2: Convert to fraction form
    2,011.86/2,769.55 = 1,730.45/x
  3. Step 3: Cross multiply
    2,011.86x = 2,769.55 × 1,730.45
  4. Step 4: Simplify right side
    2,011.86x = 4,792,570.40
  5. Step 5: Solve for x
    x = 4,792,570.40/2,011.86
  6. Step 6: Final answer
    x = 2,382.16

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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.