Home / 3,009-4,509.40-1,693.38

Finding the Fourth Proportional to 3,009, 4,509.40 and 1,693.38

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Solution

The fourth proportional to 3,009, 4,509.40 and 1,693.38 is: 2,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009 : 4,509.40 = 1,693.38 : x
  2. Step 2: Convert to fraction form
    3,009/4,509.40 = 1,693.38/x
  3. Step 3: Cross multiply
    3,009x = 4,509.40 × 1,693.38
  4. Step 4: Simplify right side
    3,009x = 7,636,127.77
  5. Step 5: Solve for x
    x = 7,636,127.77/3,009
  6. Step 6: Final answer
    x = 2,537.76

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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.