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Finding the Fourth Proportional to 2,276.08, 3,409.52 and 2,158

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Solution

The fourth proportional to 2,276.08, 3,409.52 and 2,158 is: 3,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.08 : 3,409.52 = 2,158 : x
  2. Step 2: Convert to fraction form
    2,276.08/3,409.52 = 2,158/x
  3. Step 3: Cross multiply
    2,276.08x = 3,409.52 × 2,158
  4. Step 4: Simplify right side
    2,276.08x = 7,357,744.16
  5. Step 5: Solve for x
    x = 7,357,744.16/2,276.08
  6. Step 6: Final answer
    x = 3,232.64

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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.