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Finding the Fourth Proportional to 2,646.90, 3,967.38 and 1,242.01

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Solution

The fourth proportional to 2,646.90, 3,967.38 and 1,242.01 is: 1,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.90 : 3,967.38 = 1,242.01 : x
  2. Step 2: Convert to fraction form
    2,646.90/3,967.38 = 1,242.01/x
  3. Step 3: Cross multiply
    2,646.90x = 3,967.38 × 1,242.01
  4. Step 4: Simplify right side
    2,646.90x = 4,927,505.80
  5. Step 5: Solve for x
    x = 4,927,505.80/2,646.90
  6. Step 6: Final answer
    x = 1,861.61

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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.