Home / 1,516.32-2,288.14-1,462.08

Finding the Fourth Proportional to 1,516.32, 2,288.14 and 1,462.08

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Solution

The fourth proportional to 1,516.32, 2,288.14 and 1,462.08 is: 2,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.32 : 2,288.14 = 1,462.08 : x
  2. Step 2: Convert to fraction form
    1,516.32/2,288.14 = 1,462.08/x
  3. Step 3: Cross multiply
    1,516.32x = 2,288.14 × 1,462.08
  4. Step 4: Simplify right side
    1,516.32x = 3,345,443.73
  5. Step 5: Solve for x
    x = 3,345,443.73/1,516.32
  6. Step 6: Final answer
    x = 2,206.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.