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Finding the Fourth Proportional to 2,135.55, 3,204.23 and 1,404.93

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Solution

The fourth proportional to 2,135.55, 3,204.23 and 1,404.93 is: 2,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.55 : 3,204.23 = 1,404.93 : x
  2. Step 2: Convert to fraction form
    2,135.55/3,204.23 = 1,404.93/x
  3. Step 3: Cross multiply
    2,135.55x = 3,204.23 × 1,404.93
  4. Step 4: Simplify right side
    2,135.55x = 4,501,711.83
  5. Step 5: Solve for x
    x = 4,501,711.83/2,135.55
  6. Step 6: Final answer
    x = 2,107.99

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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.