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Finding the Fourth Proportional to 1,206.71, 1,810.17 and 341.03

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Solution

The fourth proportional to 1,206.71, 1,810.17 and 341.03 is: 511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.71 : 1,810.17 = 341.03 : x
  2. Step 2: Convert to fraction form
    1,206.71/1,810.17 = 341.03/x
  3. Step 3: Cross multiply
    1,206.71x = 1,810.17 × 341.03
  4. Step 4: Simplify right side
    1,206.71x = 617,322.28
  5. Step 5: Solve for x
    x = 617,322.28/1,206.71
  6. Step 6: Final answer
    x = 511.57

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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.