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Finding the Fourth Proportional to 1,462.93, 2,196.13 and 1,155

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Solution

The fourth proportional to 1,462.93, 2,196.13 and 1,155 is: 1,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.93 : 2,196.13 = 1,155 : x
  2. Step 2: Convert to fraction form
    1,462.93/2,196.13 = 1,155/x
  3. Step 3: Cross multiply
    1,462.93x = 2,196.13 × 1,155
  4. Step 4: Simplify right side
    1,462.93x = 2,536,530.15
  5. Step 5: Solve for x
    x = 2,536,530.15/1,462.93
  6. Step 6: Final answer
    x = 1,733.87

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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.