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Finding the Fourth Proportional to 1,905.32, 2,853.32 and 1,720.64

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Solution

The fourth proportional to 1,905.32, 2,853.32 and 1,720.64 is: 2,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.32 : 2,853.32 = 1,720.64 : x
  2. Step 2: Convert to fraction form
    1,905.32/2,853.32 = 1,720.64/x
  3. Step 3: Cross multiply
    1,905.32x = 2,853.32 × 1,720.64
  4. Step 4: Simplify right side
    1,905.32x = 4,909,536.52
  5. Step 5: Solve for x
    x = 4,909,536.52/1,905.32
  6. Step 6: Final answer
    x = 2,576.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.