Home / 1,462.88-2,192.76-976.16

Finding the Fourth Proportional to 1,462.88, 2,192.76 and 976.16

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Solution

The fourth proportional to 1,462.88, 2,192.76 and 976.16 is: 1,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.88 : 2,192.76 = 976.16 : x
  2. Step 2: Convert to fraction form
    1,462.88/2,192.76 = 976.16/x
  3. Step 3: Cross multiply
    1,462.88x = 2,192.76 × 976.16
  4. Step 4: Simplify right side
    1,462.88x = 2,140,484.60
  5. Step 5: Solve for x
    x = 2,140,484.60/1,462.88
  6. Step 6: Final answer
    x = 1,463.20

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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.