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Finding the Fourth Proportional to 3,002.63, 4,473.75 and 2,834.96

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Solution

The fourth proportional to 3,002.63, 4,473.75 and 2,834.96 is: 4,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.63 : 4,473.75 = 2,834.96 : x
  2. Step 2: Convert to fraction form
    3,002.63/4,473.75 = 2,834.96/x
  3. Step 3: Cross multiply
    3,002.63x = 4,473.75 × 2,834.96
  4. Step 4: Simplify right side
    3,002.63x = 12,682,888.13
  5. Step 5: Solve for x
    x = 12,682,888.13/3,002.63
  6. Step 6: Final answer
    x = 4,223.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.