Home / 1,504.56-2,256.54-949.02

Finding the Fourth Proportional to 1,504.56, 2,256.54 and 949.02

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Solution

The fourth proportional to 1,504.56, 2,256.54 and 949.02 is: 1,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.56 : 2,256.54 = 949.02 : x
  2. Step 2: Convert to fraction form
    1,504.56/2,256.54 = 949.02/x
  3. Step 3: Cross multiply
    1,504.56x = 2,256.54 × 949.02
  4. Step 4: Simplify right side
    1,504.56x = 2,141,501.59
  5. Step 5: Solve for x
    x = 2,141,501.59/1,504.56
  6. Step 6: Final answer
    x = 1,423.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.