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Finding the Fourth Proportional to 1,605.42, 2,406.27 and 737.91

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Solution

The fourth proportional to 1,605.42, 2,406.27 and 737.91 is: 1,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.42 : 2,406.27 = 737.91 : x
  2. Step 2: Convert to fraction form
    1,605.42/2,406.27 = 737.91/x
  3. Step 3: Cross multiply
    1,605.42x = 2,406.27 × 737.91
  4. Step 4: Simplify right side
    1,605.42x = 1,775,610.70
  5. Step 5: Solve for x
    x = 1,775,610.70/1,605.42
  6. Step 6: Final answer
    x = 1,106.01

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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.