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Finding the Fourth Proportional to 1,765.67, 2,646.27 and 1,545.75

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Solution

The fourth proportional to 1,765.67, 2,646.27 and 1,545.75 is: 2,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.67 : 2,646.27 = 1,545.75 : x
  2. Step 2: Convert to fraction form
    1,765.67/2,646.27 = 1,545.75/x
  3. Step 3: Cross multiply
    1,765.67x = 2,646.27 × 1,545.75
  4. Step 4: Simplify right side
    1,765.67x = 4,090,471.85
  5. Step 5: Solve for x
    x = 4,090,471.85/1,765.67
  6. Step 6: Final answer
    x = 2,316.67

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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.