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Finding the Fourth Proportional to 3,250.14, 4,875.15 and 941.64

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Solution

The fourth proportional to 3,250.14, 4,875.15 and 941.64 is: 1,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.14 : 4,875.15 = 941.64 : x
  2. Step 2: Convert to fraction form
    3,250.14/4,875.15 = 941.64/x
  3. Step 3: Cross multiply
    3,250.14x = 4,875.15 × 941.64
  4. Step 4: Simplify right side
    3,250.14x = 4,590,636.25
  5. Step 5: Solve for x
    x = 4,590,636.25/3,250.14
  6. Step 6: Final answer
    x = 1,412.44

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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.