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Finding the Fourth Proportional to 1,905.64, 2,630.55 and 1,612.42

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Solution

The fourth proportional to 1,905.64, 2,630.55 and 1,612.42 is: 2,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.64 : 2,630.55 = 1,612.42 : x
  2. Step 2: Convert to fraction form
    1,905.64/2,630.55 = 1,612.42/x
  3. Step 3: Cross multiply
    1,905.64x = 2,630.55 × 1,612.42
  4. Step 4: Simplify right side
    1,905.64x = 4,241,551.43
  5. Step 5: Solve for x
    x = 4,241,551.43/1,905.64
  6. Step 6: Final answer
    x = 2,225.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.