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Finding the Fourth Proportional to 1,846.64, 2,550.13 and 1,583.12

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Solution

The fourth proportional to 1,846.64, 2,550.13 and 1,583.12 is: 2,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.64 : 2,550.13 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    1,846.64/2,550.13 = 1,583.12/x
  3. Step 3: Cross multiply
    1,846.64x = 2,550.13 × 1,583.12
  4. Step 4: Simplify right side
    1,846.64x = 4,037,145.10
  5. Step 5: Solve for x
    x = 4,037,145.10/1,846.64
  6. Step 6: Final answer
    x = 2,186.22

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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.