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Finding the Fourth Proportional to 3,363.84, 5,045.76 and 1,023.84

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Solution

The fourth proportional to 3,363.84, 5,045.76 and 1,023.84 is: 1,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.84 : 5,045.76 = 1,023.84 : x
  2. Step 2: Convert to fraction form
    3,363.84/5,045.76 = 1,023.84/x
  3. Step 3: Cross multiply
    3,363.84x = 5,045.76 × 1,023.84
  4. Step 4: Simplify right side
    3,363.84x = 5,166,050.92
  5. Step 5: Solve for x
    x = 5,166,050.92/3,363.84
  6. Step 6: Final answer
    x = 1,535.76

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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.