Home / 2,023.12-3,035.14-983.62

Finding the Fourth Proportional to 2,023.12, 3,035.14 and 983.62

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Solution

The fourth proportional to 2,023.12, 3,035.14 and 983.62 is: 1,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.12 : 3,035.14 = 983.62 : x
  2. Step 2: Convert to fraction form
    2,023.12/3,035.14 = 983.62/x
  3. Step 3: Cross multiply
    2,023.12x = 3,035.14 × 983.62
  4. Step 4: Simplify right side
    2,023.12x = 2,985,424.41
  5. Step 5: Solve for x
    x = 2,985,424.41/2,023.12
  6. Step 6: Final answer
    x = 1,475.65

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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.