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Finding the Fourth Proportional to 1,206.76, 1,810.21 and 341

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Solution

The fourth proportional to 1,206.76, 1,810.21 and 341 is: 511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.76 : 1,810.21 = 341 : x
  2. Step 2: Convert to fraction form
    1,206.76/1,810.21 = 341/x
  3. Step 3: Cross multiply
    1,206.76x = 1,810.21 × 341
  4. Step 4: Simplify right side
    1,206.76x = 617,281.61
  5. Step 5: Solve for x
    x = 617,281.61/1,206.76
  6. Step 6: Final answer
    x = 511.52

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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.