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Finding the Fourth Proportional to 1,620, 2,230.80 and 1,453.92

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Solution

The fourth proportional to 1,620, 2,230.80 and 1,453.92 is: 2,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620 : 2,230.80 = 1,453.92 : x
  2. Step 2: Convert to fraction form
    1,620/2,230.80 = 1,453.92/x
  3. Step 3: Cross multiply
    1,620x = 2,230.80 × 1,453.92
  4. Step 4: Simplify right side
    1,620x = 3,243,404.74
  5. Step 5: Solve for x
    x = 3,243,404.74/1,620
  6. Step 6: Final answer
    x = 2,002.10

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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.