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Finding the Fourth Proportional to 1,206.90, 1,810.38 and 341.22

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Solution

The fourth proportional to 1,206.90, 1,810.38 and 341.22 is: 511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.90 : 1,810.38 = 341.22 : x
  2. Step 2: Convert to fraction form
    1,206.90/1,810.38 = 341.22/x
  3. Step 3: Cross multiply
    1,206.90x = 1,810.38 × 341.22
  4. Step 4: Simplify right side
    1,206.90x = 617,737.86
  5. Step 5: Solve for x
    x = 617,737.86/1,206.90
  6. Step 6: Final answer
    x = 511.84

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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.