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Finding the Fourth Proportional to 1,602.20, 2,391.82 and 1,487.99

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Solution

The fourth proportional to 1,602.20, 2,391.82 and 1,487.99 is: 2,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.20 : 2,391.82 = 1,487.99 : x
  2. Step 2: Convert to fraction form
    1,602.20/2,391.82 = 1,487.99/x
  3. Step 3: Cross multiply
    1,602.20x = 2,391.82 × 1,487.99
  4. Step 4: Simplify right side
    1,602.20x = 3,559,004.24
  5. Step 5: Solve for x
    x = 3,559,004.24/1,602.20
  6. Step 6: Final answer
    x = 2,221.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.