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Finding the Fourth Proportional to 1,368.94, 2,053.41 and 342.94

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Solution

The fourth proportional to 1,368.94, 2,053.41 and 342.94 is: 514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.94 : 2,053.41 = 342.94 : x
  2. Step 2: Convert to fraction form
    1,368.94/2,053.41 = 342.94/x
  3. Step 3: Cross multiply
    1,368.94x = 2,053.41 × 342.94
  4. Step 4: Simplify right side
    1,368.94x = 704,196.43
  5. Step 5: Solve for x
    x = 704,196.43/1,368.94
  6. Step 6: Final answer
    x = 514.41

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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.