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Finding the Fourth Proportional to 2,375.01, 3,562.25 and 643.77

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Solution

The fourth proportional to 2,375.01, 3,562.25 and 643.77 is: 965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.01 : 3,562.25 = 643.77 : x
  2. Step 2: Convert to fraction form
    2,375.01/3,562.25 = 643.77/x
  3. Step 3: Cross multiply
    2,375.01x = 3,562.25 × 643.77
  4. Step 4: Simplify right side
    2,375.01x = 2,293,266.46
  5. Step 5: Solve for x
    x = 2,293,266.46/2,375.01
  6. Step 6: Final answer
    x = 965.58

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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.