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Finding the Fourth Proportional to 2,130.80, 3,194 and 1,154.84

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Solution

The fourth proportional to 2,130.80, 3,194 and 1,154.84 is: 1,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.80 : 3,194 = 1,154.84 : x
  2. Step 2: Convert to fraction form
    2,130.80/3,194 = 1,154.84/x
  3. Step 3: Cross multiply
    2,130.80x = 3,194 × 1,154.84
  4. Step 4: Simplify right side
    2,130.80x = 3,688,558.96
  5. Step 5: Solve for x
    x = 3,688,558.96/2,130.80
  6. Step 6: Final answer
    x = 1,731.07

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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.