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Finding the Fourth Proportional to 3,160.99, 4,740.46 and 1,311.11

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Solution

The fourth proportional to 3,160.99, 4,740.46 and 1,311.11 is: 1,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.99 : 4,740.46 = 1,311.11 : x
  2. Step 2: Convert to fraction form
    3,160.99/4,740.46 = 1,311.11/x
  3. Step 3: Cross multiply
    3,160.99x = 4,740.46 × 1,311.11
  4. Step 4: Simplify right side
    3,160.99x = 6,215,264.51
  5. Step 5: Solve for x
    x = 6,215,264.51/3,160.99
  6. Step 6: Final answer
    x = 1,966.24

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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.