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Finding the Fourth Proportional to 4,800.63, 7,204.10 and 1,722.63

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Solution

The fourth proportional to 4,800.63, 7,204.10 and 1,722.63 is: 2,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.63 : 7,204.10 = 1,722.63 : x
  2. Step 2: Convert to fraction form
    4,800.63/7,204.10 = 1,722.63/x
  3. Step 3: Cross multiply
    4,800.63x = 7,204.10 × 1,722.63
  4. Step 4: Simplify right side
    4,800.63x = 12,409,990.17
  5. Step 5: Solve for x
    x = 12,409,990.17/4,800.63
  6. Step 6: Final answer
    x = 2,585.08

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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.