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Finding the Fourth Proportional to 2,130.96, 3,191.80 and 1,155

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Solution

The fourth proportional to 2,130.96, 3,191.80 and 1,155 is: 1,729.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.96 : 3,191.80 = 1,155 : x
  2. Step 2: Convert to fraction form
    2,130.96/3,191.80 = 1,155/x
  3. Step 3: Cross multiply
    2,130.96x = 3,191.80 × 1,155
  4. Step 4: Simplify right side
    2,130.96x = 3,686,529
  5. Step 5: Solve for x
    x = 3,686,529/2,130.96
  6. Step 6: Final answer
    x = 1,729.99

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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.