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Finding the Fourth Proportional to 1,406.61, 1,941.14 and 847.41

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Solution

The fourth proportional to 1,406.61, 1,941.14 and 847.41 is: 1,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.61 : 1,941.14 = 847.41 : x
  2. Step 2: Convert to fraction form
    1,406.61/1,941.14 = 847.41/x
  3. Step 3: Cross multiply
    1,406.61x = 1,941.14 × 847.41
  4. Step 4: Simplify right side
    1,406.61x = 1,644,937.21
  5. Step 5: Solve for x
    x = 1,644,937.21/1,406.61
  6. Step 6: Final answer
    x = 1,169.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.