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Finding the Fourth Proportional to 1,607.54, 2,405.82 and 1,400.99

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Solution

The fourth proportional to 1,607.54, 2,405.82 and 1,400.99 is: 2,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.54 : 2,405.82 = 1,400.99 : x
  2. Step 2: Convert to fraction form
    1,607.54/2,405.82 = 1,400.99/x
  3. Step 3: Cross multiply
    1,607.54x = 2,405.82 × 1,400.99
  4. Step 4: Simplify right side
    1,607.54x = 3,370,517.73
  5. Step 5: Solve for x
    x = 3,370,517.73/1,607.54
  6. Step 6: Final answer
    x = 2,096.70

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Why These Related Problems?

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