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Finding the Fourth Proportional to 1,406.86, 1,941.06 and 847.05

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Solution

The fourth proportional to 1,406.86, 1,941.06 and 847.05 is: 1,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.86 : 1,941.06 = 847.05 : x
  2. Step 2: Convert to fraction form
    1,406.86/1,941.06 = 847.05/x
  3. Step 3: Cross multiply
    1,406.86x = 1,941.06 × 847.05
  4. Step 4: Simplify right side
    1,406.86x = 1,644,174.87
  5. Step 5: Solve for x
    x = 1,644,174.87/1,406.86
  6. Step 6: Final answer
    x = 1,168.69

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