Home / 1,947.48-2,913.92-1,082.40

Finding the Fourth Proportional to 1,947.48, 2,913.92 and 1,082.40

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Solution

The fourth proportional to 1,947.48, 2,913.92 and 1,082.40 is: 1,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.48 : 2,913.92 = 1,082.40 : x
  2. Step 2: Convert to fraction form
    1,947.48/2,913.92 = 1,082.40/x
  3. Step 3: Cross multiply
    1,947.48x = 2,913.92 × 1,082.40
  4. Step 4: Simplify right side
    1,947.48x = 3,154,027.01
  5. Step 5: Solve for x
    x = 3,154,027.01/1,947.48
  6. Step 6: Final answer
    x = 1,619.54

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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.