Home / 1,846.08-2,546.64-1,224

Finding the Fourth Proportional to 1,846.08, 2,546.64 and 1,224

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Solution

The fourth proportional to 1,846.08, 2,546.64 and 1,224 is: 1,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.08 : 2,546.64 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,846.08/2,546.64 = 1,224/x
  3. Step 3: Cross multiply
    1,846.08x = 2,546.64 × 1,224
  4. Step 4: Simplify right side
    1,846.08x = 3,117,087.36
  5. Step 5: Solve for x
    x = 3,117,087.36/1,846.08
  6. Step 6: Final answer
    x = 1,688.49

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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.