Home / 1,567.32-2,163.38-977.48

Finding the Fourth Proportional to 1,567.32, 2,163.38 and 977.48

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Solution

The fourth proportional to 1,567.32, 2,163.38 and 977.48 is: 1,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.32 : 2,163.38 = 977.48 : x
  2. Step 2: Convert to fraction form
    1,567.32/2,163.38 = 977.48/x
  3. Step 3: Cross multiply
    1,567.32x = 2,163.38 × 977.48
  4. Step 4: Simplify right side
    1,567.32x = 2,114,660.68
  5. Step 5: Solve for x
    x = 2,114,660.68/1,567.32
  6. Step 6: Final answer
    x = 1,349.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.