Home / 2,005.12-3,009-1,510.48

Finding the Fourth Proportional to 2,005.12, 3,009 and 1,510.48

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Solution

The fourth proportional to 2,005.12, 3,009 and 1,510.48 is: 2,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.12 : 3,009 = 1,510.48 : x
  2. Step 2: Convert to fraction form
    2,005.12/3,009 = 1,510.48/x
  3. Step 3: Cross multiply
    2,005.12x = 3,009 × 1,510.48
  4. Step 4: Simplify right side
    2,005.12x = 4,545,034.32
  5. Step 5: Solve for x
    x = 4,545,034.32/2,005.12
  6. Step 6: Final answer
    x = 2,266.71

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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.