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Finding the Fourth Proportional to 4,200.77, 6,301.35 and 1,603.50

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Solution

The fourth proportional to 4,200.77, 6,301.35 and 1,603.50 is: 2,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.77 : 6,301.35 = 1,603.50 : x
  2. Step 2: Convert to fraction form
    4,200.77/6,301.35 = 1,603.50/x
  3. Step 3: Cross multiply
    4,200.77x = 6,301.35 × 1,603.50
  4. Step 4: Simplify right side
    4,200.77x = 10,104,214.73
  5. Step 5: Solve for x
    x = 10,104,214.73/4,200.77
  6. Step 6: Final answer
    x = 2,405.33

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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.