Home / 3,023.64-4,534.25-943.16

Finding the Fourth Proportional to 3,023.64, 4,534.25 and 943.16

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Solution

The fourth proportional to 3,023.64, 4,534.25 and 943.16 is: 1,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.64 : 4,534.25 = 943.16 : x
  2. Step 2: Convert to fraction form
    3,023.64/4,534.25 = 943.16/x
  3. Step 3: Cross multiply
    3,023.64x = 4,534.25 × 943.16
  4. Step 4: Simplify right side
    3,023.64x = 4,276,495.84
  5. Step 5: Solve for x
    x = 4,276,495.84/3,023.64
  6. Step 6: Final answer
    x = 1,414.35

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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.