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Finding the Fourth Proportional to 2,035.84, 3,048.84 and 2,000.20

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Solution

The fourth proportional to 2,035.84, 3,048.84 and 2,000.20 is: 2,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.84 : 3,048.84 = 2,000.20 : x
  2. Step 2: Convert to fraction form
    2,035.84/3,048.84 = 2,000.20/x
  3. Step 3: Cross multiply
    2,035.84x = 3,048.84 × 2,000.20
  4. Step 4: Simplify right side
    2,035.84x = 6,098,289.77
  5. Step 5: Solve for x
    x = 6,098,289.77/2,035.84
  6. Step 6: Final answer
    x = 2,995.47

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1.5x scale

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.