Home / 1,464.48-2,023.18-961.53

Finding the Fourth Proportional to 1,464.48, 2,023.18 and 961.53

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Solution

The fourth proportional to 1,464.48, 2,023.18 and 961.53 is: 1,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.48 : 2,023.18 = 961.53 : x
  2. Step 2: Convert to fraction form
    1,464.48/2,023.18 = 961.53/x
  3. Step 3: Cross multiply
    1,464.48x = 2,023.18 × 961.53
  4. Step 4: Simplify right side
    1,464.48x = 1,945,338.27
  5. Step 5: Solve for x
    x = 1,945,338.27/1,464.48
  6. Step 6: Final answer
    x = 1,328.35

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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.