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Finding the Fourth Proportional to 2,123.63, 3,185.66 and 736.65

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Solution

The fourth proportional to 2,123.63, 3,185.66 and 736.65 is: 1,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.63 : 3,185.66 = 736.65 : x
  2. Step 2: Convert to fraction form
    2,123.63/3,185.66 = 736.65/x
  3. Step 3: Cross multiply
    2,123.63x = 3,185.66 × 736.65
  4. Step 4: Simplify right side
    2,123.63x = 2,346,712.76
  5. Step 5: Solve for x
    x = 2,346,712.76/2,123.63
  6. Step 6: Final answer
    x = 1,105.05

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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.