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Finding the Fourth Proportional to 1,602.12, 2,402.94 and 1,329.96

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Solution

The fourth proportional to 1,602.12, 2,402.94 and 1,329.96 is: 1,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.12 : 2,402.94 = 1,329.96 : x
  2. Step 2: Convert to fraction form
    1,602.12/2,402.94 = 1,329.96/x
  3. Step 3: Cross multiply
    1,602.12x = 2,402.94 × 1,329.96
  4. Step 4: Simplify right side
    1,602.12x = 3,195,814.08
  5. Step 5: Solve for x
    x = 3,195,814.08/1,602.12
  6. Step 6: Final answer
    x = 1,994.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.