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Finding the Fourth Proportional to 2,300.74, 3,448.23 and 1,811.86

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Solution

The fourth proportional to 2,300.74, 3,448.23 and 1,811.86 is: 2,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.74 : 3,448.23 = 1,811.86 : x
  2. Step 2: Convert to fraction form
    2,300.74/3,448.23 = 1,811.86/x
  3. Step 3: Cross multiply
    2,300.74x = 3,448.23 × 1,811.86
  4. Step 4: Simplify right side
    2,300.74x = 6,247,710.01
  5. Step 5: Solve for x
    x = 6,247,710.01/2,300.74
  6. Step 6: Final answer
    x = 2,715.52

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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.