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Finding the Fourth Proportional to 4,201.93, 6,303.84 and 1,605.07

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Solution

The fourth proportional to 4,201.93, 6,303.84 and 1,605.07 is: 2,407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.93 : 6,303.84 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    4,201.93/6,303.84 = 1,605.07/x
  3. Step 3: Cross multiply
    4,201.93x = 6,303.84 × 1,605.07
  4. Step 4: Simplify right side
    4,201.93x = 10,118,104.47
  5. Step 5: Solve for x
    x = 10,118,104.47/4,201.93
  6. Step 6: Final answer
    x = 2,407.97

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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.