Home / 3,023.73-4,534.64-971.25

Finding the Fourth Proportional to 3,023.73, 4,534.64 and 971.25

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Solution

The fourth proportional to 3,023.73, 4,534.64 and 971.25 is: 1,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.73 : 4,534.64 = 971.25 : x
  2. Step 2: Convert to fraction form
    3,023.73/4,534.64 = 971.25/x
  3. Step 3: Cross multiply
    3,023.73x = 4,534.64 × 971.25
  4. Step 4: Simplify right side
    3,023.73x = 4,404,264.24
  5. Step 5: Solve for x
    x = 4,404,264.24/3,023.73
  6. Step 6: Final answer
    x = 1,456.57

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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.