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Finding the Fourth Proportional to 1,185.63, 1,773.99 and 1,123.13

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Solution

The fourth proportional to 1,185.63, 1,773.99 and 1,123.13 is: 1,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.63 : 1,773.99 = 1,123.13 : x
  2. Step 2: Convert to fraction form
    1,185.63/1,773.99 = 1,123.13/x
  3. Step 3: Cross multiply
    1,185.63x = 1,773.99 × 1,123.13
  4. Step 4: Simplify right side
    1,185.63x = 1,992,412.52
  5. Step 5: Solve for x
    x = 1,992,412.52/1,185.63
  6. Step 6: Final answer
    x = 1,680.47

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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.