Home / 2,023.40-3,032.70-1,509.80

Finding the Fourth Proportional to 2,023.40, 3,032.70 and 1,509.80

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Solution

The fourth proportional to 2,023.40, 3,032.70 and 1,509.80 is: 2,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.40 : 3,032.70 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    2,023.40/3,032.70 = 1,509.80/x
  3. Step 3: Cross multiply
    2,023.40x = 3,032.70 × 1,509.80
  4. Step 4: Simplify right side
    2,023.40x = 4,578,770.46
  5. Step 5: Solve for x
    x = 4,578,770.46/2,023.40
  6. Step 6: Final answer
    x = 2,262.91

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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.