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Finding the Fourth Proportional to 1,807.26, 2,710.92 and 637.26

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Solution

The fourth proportional to 1,807.26, 2,710.92 and 637.26 is: 955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.26 : 2,710.92 = 637.26 : x
  2. Step 2: Convert to fraction form
    1,807.26/2,710.92 = 637.26/x
  3. Step 3: Cross multiply
    1,807.26x = 2,710.92 × 637.26
  4. Step 4: Simplify right side
    1,807.26x = 1,727,560.88
  5. Step 5: Solve for x
    x = 1,727,560.88/1,807.26
  6. Step 6: Final answer
    x = 955.90

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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.