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Finding the Fourth Proportional to 1,776.41, 2,666.01 and 1,232.42

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Solution

The fourth proportional to 1,776.41, 2,666.01 and 1,232.42 is: 1,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.41 : 2,666.01 = 1,232.42 : x
  2. Step 2: Convert to fraction form
    1,776.41/2,666.01 = 1,232.42/x
  3. Step 3: Cross multiply
    1,776.41x = 2,666.01 × 1,232.42
  4. Step 4: Simplify right side
    1,776.41x = 3,285,644.04
  5. Step 5: Solve for x
    x = 3,285,644.04/1,776.41
  6. Step 6: Final answer
    x = 1,849.60

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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.