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Finding the Fourth Proportional to 1,605.23, 2,406.02 and 737.72

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Solution

The fourth proportional to 1,605.23, 2,406.02 and 737.72 is: 1,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.23 : 2,406.02 = 737.72 : x
  2. Step 2: Convert to fraction form
    1,605.23/2,406.02 = 737.72/x
  3. Step 3: Cross multiply
    1,605.23x = 2,406.02 × 737.72
  4. Step 4: Simplify right side
    1,605.23x = 1,774,962.38
  5. Step 5: Solve for x
    x = 1,774,962.38/1,605.23
  6. Step 6: Final answer
    x = 1,105.74

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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.