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Finding the Fourth Proportional to 2,139.60, 2,952.68 and 1,195.40

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Solution

The fourth proportional to 2,139.60, 2,952.68 and 1,195.40 is: 1,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.60 : 2,952.68 = 1,195.40 : x
  2. Step 2: Convert to fraction form
    2,139.60/2,952.68 = 1,195.40/x
  3. Step 3: Cross multiply
    2,139.60x = 2,952.68 × 1,195.40
  4. Step 4: Simplify right side
    2,139.60x = 3,529,633.67
  5. Step 5: Solve for x
    x = 3,529,633.67/2,139.60
  6. Step 6: Final answer
    x = 1,649.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.