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Finding the Fourth Proportional to 4,682.84, 7,022.76 and 2,603.84

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Solution

The fourth proportional to 4,682.84, 7,022.76 and 2,603.84 is: 3,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.84 : 7,022.76 = 2,603.84 : x
  2. Step 2: Convert to fraction form
    4,682.84/7,022.76 = 2,603.84/x
  3. Step 3: Cross multiply
    4,682.84x = 7,022.76 × 2,603.84
  4. Step 4: Simplify right side
    4,682.84x = 18,286,143.40
  5. Step 5: Solve for x
    x = 18,286,143.40/4,682.84
  6. Step 6: Final answer
    x = 3,904.93

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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.