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Finding the Fourth Proportional to 1,243.67, 1,854.05 and 1,185.35

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Solution

The fourth proportional to 1,243.67, 1,854.05 and 1,185.35 is: 1,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.67 : 1,854.05 = 1,185.35 : x
  2. Step 2: Convert to fraction form
    1,243.67/1,854.05 = 1,185.35/x
  3. Step 3: Cross multiply
    1,243.67x = 1,854.05 × 1,185.35
  4. Step 4: Simplify right side
    1,243.67x = 2,197,691.86
  5. Step 5: Solve for x
    x = 2,197,691.86/1,243.67
  6. Step 6: Final answer
    x = 1,767.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.