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Finding the Fourth Proportional to 2,023.84, 3,036.05 and 983.90

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Solution

The fourth proportional to 2,023.84, 3,036.05 and 983.90 is: 1,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.84 : 3,036.05 = 983.90 : x
  2. Step 2: Convert to fraction form
    2,023.84/3,036.05 = 983.90/x
  3. Step 3: Cross multiply
    2,023.84x = 3,036.05 × 983.90
  4. Step 4: Simplify right side
    2,023.84x = 2,987,169.60
  5. Step 5: Solve for x
    x = 2,987,169.60/2,023.84
  6. Step 6: Final answer
    x = 1,475.99

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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.