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Finding the Fourth Proportional to 2,318.01, 3,470.85 and 1,812.64

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Solution

The fourth proportional to 2,318.01, 3,470.85 and 1,812.64 is: 2,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.01 : 3,470.85 = 1,812.64 : x
  2. Step 2: Convert to fraction form
    2,318.01/3,470.85 = 1,812.64/x
  3. Step 3: Cross multiply
    2,318.01x = 3,470.85 × 1,812.64
  4. Step 4: Simplify right side
    2,318.01x = 6,291,401.54
  5. Step 5: Solve for x
    x = 6,291,401.54/2,318.01
  6. Step 6: Final answer
    x = 2,714.14

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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.