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Finding the Fourth Proportional to 4,030.82, 6,047.19 and 1,722.50

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Solution

The fourth proportional to 4,030.82, 6,047.19 and 1,722.50 is: 2,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.82 : 6,047.19 = 1,722.50 : x
  2. Step 2: Convert to fraction form
    4,030.82/6,047.19 = 1,722.50/x
  3. Step 3: Cross multiply
    4,030.82x = 6,047.19 × 1,722.50
  4. Step 4: Simplify right side
    4,030.82x = 10,416,284.78
  5. Step 5: Solve for x
    x = 10,416,284.78/4,030.82
  6. Step 6: Final answer
    x = 2,584.16

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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.