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Finding the Fourth Proportional to 2,113.90, 3,171.53 and 1,018.34

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Solution

The fourth proportional to 2,113.90, 3,171.53 and 1,018.34 is: 1,527.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.90 : 3,171.53 = 1,018.34 : x
  2. Step 2: Convert to fraction form
    2,113.90/3,171.53 = 1,018.34/x
  3. Step 3: Cross multiply
    2,113.90x = 3,171.53 × 1,018.34
  4. Step 4: Simplify right side
    2,113.90x = 3,229,695.86
  5. Step 5: Solve for x
    x = 3,229,695.86/2,113.90
  6. Step 6: Final answer
    x = 1,527.84

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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.