Home / 2,971.49-4,456.76-1,023.84

Finding the Fourth Proportional to 2,971.49, 4,456.76 and 1,023.84

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Solution

The fourth proportional to 2,971.49, 4,456.76 and 1,023.84 is: 1,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.49 : 4,456.76 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    2,971.49/4,456.76 = 1,023.84/x
  3. Step 3: Cross multiply
    2,971.49x = 4,456.76 × 1,023.84
  4. Step 4: Simplify right side
    2,971.49x = 4,563,004.04
  5. Step 5: Solve for x
    x = 4,563,004.04/2,971.49
  6. Step 6: Final answer
    x = 1,535.60

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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.