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Finding the Fourth Proportional to 1,847.74, 2,549.86 and 1,061.80

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Solution

The fourth proportional to 1,847.74, 2,549.86 and 1,061.80 is: 1,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.74 : 2,549.86 = 1,061.80 : x
  2. Step 2: Convert to fraction form
    1,847.74/2,549.86 = 1,061.80/x
  3. Step 3: Cross multiply
    1,847.74x = 2,549.86 × 1,061.80
  4. Step 4: Simplify right side
    1,847.74x = 2,707,441.35
  5. Step 5: Solve for x
    x = 2,707,441.35/1,847.74
  6. Step 6: Final answer
    x = 1,465.27

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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.