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Finding the Fourth Proportional to 2,388.64, 3,586.08 and 2,246.08

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Solution

The fourth proportional to 2,388.64, 3,586.08 and 2,246.08 is: 3,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.64 : 3,586.08 = 2,246.08 : x
  2. Step 2: Convert to fraction form
    2,388.64/3,586.08 = 2,246.08/x
  3. Step 3: Cross multiply
    2,388.64x = 3,586.08 × 2,246.08
  4. Step 4: Simplify right side
    2,388.64x = 8,054,622.57
  5. Step 5: Solve for x
    x = 8,054,622.57/2,388.64
  6. Step 6: Final answer
    x = 3,372.05

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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.