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Finding the Fourth Proportional to 1,340.94, 2,011.41 and 610

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Solution

The fourth proportional to 1,340.94, 2,011.41 and 610 is: 915

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.94 : 2,011.41 = 610 : x
  2. Step 2: Convert to fraction form
    1,340.94/2,011.41 = 610/x
  3. Step 3: Cross multiply
    1,340.94x = 2,011.41 × 610
  4. Step 4: Simplify right side
    1,340.94x = 1,226,960.10
  5. Step 5: Solve for x
    x = 1,226,960.10/1,340.94
  6. Step 6: Final answer
    x = 915

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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.