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Finding the Fourth Proportional to 1,641.26, 2,459.93 and 946.49

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Solution

The fourth proportional to 1,641.26, 2,459.93 and 946.49 is: 1,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.26 : 2,459.93 = 946.49 : x
  2. Step 2: Convert to fraction form
    1,641.26/2,459.93 = 946.49/x
  3. Step 3: Cross multiply
    1,641.26x = 2,459.93 × 946.49
  4. Step 4: Simplify right side
    1,641.26x = 2,328,282.11
  5. Step 5: Solve for x
    x = 2,328,282.11/1,641.26
  6. Step 6: Final answer
    x = 1,418.59

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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.