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Finding the Fourth Proportional to 1,599.72, 2,206.20 and 1,529.68

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Solution

The fourth proportional to 1,599.72, 2,206.20 and 1,529.68 is: 2,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.72 : 2,206.20 = 1,529.68 : x
  2. Step 2: Convert to fraction form
    1,599.72/2,206.20 = 1,529.68/x
  3. Step 3: Cross multiply
    1,599.72x = 2,206.20 × 1,529.68
  4. Step 4: Simplify right side
    1,599.72x = 3,374,780.02
  5. Step 5: Solve for x
    x = 3,374,780.02/1,599.72
  6. Step 6: Final answer
    x = 2,109.61

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