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Finding the Fourth Proportional to 1,811.76, 2,497.38 and 1,661.10

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Solution

The fourth proportional to 1,811.76, 2,497.38 and 1,661.10 is: 2,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.76 : 2,497.38 = 1,661.10 : x
  2. Step 2: Convert to fraction form
    1,811.76/2,497.38 = 1,661.10/x
  3. Step 3: Cross multiply
    1,811.76x = 2,497.38 × 1,661.10
  4. Step 4: Simplify right side
    1,811.76x = 4,148,397.92
  5. Step 5: Solve for x
    x = 4,148,397.92/1,811.76
  6. Step 6: Final answer
    x = 2,289.71

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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.