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Finding the Fourth Proportional to 1,602.66, 2,198.40 and 1,588.80

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Solution

The fourth proportional to 1,602.66, 2,198.40 and 1,588.80 is: 2,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.66 : 2,198.40 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    1,602.66/2,198.40 = 1,588.80/x
  3. Step 3: Cross multiply
    1,602.66x = 2,198.40 × 1,588.80
  4. Step 4: Simplify right side
    1,602.66x = 3,492,817.92
  5. Step 5: Solve for x
    x = 3,492,817.92/1,602.66
  6. Step 6: Final answer
    x = 2,179.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.