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Finding the Fourth Proportional to 3,601.83, 4,970.62 and 1,986.80

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Solution

The fourth proportional to 3,601.83, 4,970.62 and 1,986.80 is: 2,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.83 : 4,970.62 = 1,986.80 : x
  2. Step 2: Convert to fraction form
    3,601.83/4,970.62 = 1,986.80/x
  3. Step 3: Cross multiply
    3,601.83x = 4,970.62 × 1,986.80
  4. Step 4: Simplify right side
    3,601.83x = 9,875,627.82
  5. Step 5: Solve for x
    x = 9,875,627.82/3,601.83
  6. Step 6: Final answer
    x = 2,741.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.