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Finding the Fourth Proportional to 2,276.64, 3,407.04 and 1,398.75

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Solution

The fourth proportional to 2,276.64, 3,407.04 and 1,398.75 is: 2,093.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.64 : 3,407.04 = 1,398.75 : x
  2. Step 2: Convert to fraction form
    2,276.64/3,407.04 = 1,398.75/x
  3. Step 3: Cross multiply
    2,276.64x = 3,407.04 × 1,398.75
  4. Step 4: Simplify right side
    2,276.64x = 4,765,597.20
  5. Step 5: Solve for x
    x = 4,765,597.20/2,276.64
  6. Step 6: Final answer
    x = 2,093.26

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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.