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Finding the Fourth Proportional to 2,510.94, 3,763.23 and 1,780.68

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Solution

The fourth proportional to 2,510.94, 3,763.23 and 1,780.68 is: 2,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.94 : 3,763.23 = 1,780.68 : x
  2. Step 2: Convert to fraction form
    2,510.94/3,763.23 = 1,780.68/x
  3. Step 3: Cross multiply
    2,510.94x = 3,763.23 × 1,780.68
  4. Step 4: Simplify right side
    2,510.94x = 6,701,108.40
  5. Step 5: Solve for x
    x = 6,701,108.40/2,510.94
  6. Step 6: Final answer
    x = 2,668.76

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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.