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Finding the Fourth Proportional to 3,602.69, 4,972.00 and 2,009.85

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Solution

The fourth proportional to 3,602.69, 4,972.00 and 2,009.85 is: 2,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.69 : 4,972.00 = 2,009.85 : x
  2. Step 2: Convert to fraction form
    3,602.69/4,972.00 = 2,009.85/x
  3. Step 3: Cross multiply
    3,602.69x = 4,972.00 × 2,009.85
  4. Step 4: Simplify right side
    3,602.69x = 9,992,954.30
  5. Step 5: Solve for x
    x = 9,992,954.30/3,602.69
  6. Step 6: Final answer
    x = 2,773.74

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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.