Home / 1,563.52-2,342.40-947.20

Finding the Fourth Proportional to 1,563.52, 2,342.40 and 947.20

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Solution

The fourth proportional to 1,563.52, 2,342.40 and 947.20 is: 1,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.52 : 2,342.40 = 947.20 : x
  2. Step 2: Convert to fraction form
    1,563.52/2,342.40 = 947.20/x
  3. Step 3: Cross multiply
    1,563.52x = 2,342.40 × 947.20
  4. Step 4: Simplify right side
    1,563.52x = 2,218,721.28
  5. Step 5: Solve for x
    x = 2,218,721.28/1,563.52
  6. Step 6: Final answer
    x = 1,419.06

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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.