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Finding the Fourth Proportional to 1,847.86, 2,549.79 and 1,184.76

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Solution

The fourth proportional to 1,847.86, 2,549.79 and 1,184.76 is: 1,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.86 : 2,549.79 = 1,184.76 : x
  2. Step 2: Convert to fraction form
    1,847.86/2,549.79 = 1,184.76/x
  3. Step 3: Cross multiply
    1,847.86x = 2,549.79 × 1,184.76
  4. Step 4: Simplify right side
    1,847.86x = 3,020,889.20
  5. Step 5: Solve for x
    x = 3,020,889.20/1,847.86
  6. Step 6: Final answer
    x = 1,634.81

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1.5x scale

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.