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Finding the Fourth Proportional to 1,407.90, 2,109.45 and 1,163.10

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Solution

The fourth proportional to 1,407.90, 2,109.45 and 1,163.10 is: 1,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.90 : 2,109.45 = 1,163.10 : x
  2. Step 2: Convert to fraction form
    1,407.90/2,109.45 = 1,163.10/x
  3. Step 3: Cross multiply
    1,407.90x = 2,109.45 × 1,163.10
  4. Step 4: Simplify right side
    1,407.90x = 2,453,501.30
  5. Step 5: Solve for x
    x = 2,453,501.30/1,407.90
  6. Step 6: Final answer
    x = 1,742.67

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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.