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Finding the Fourth Proportional to 1,039.09, 1,551.90 and 941.40

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Solution

The fourth proportional to 1,039.09, 1,551.90 and 941.40 is: 1,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.09 : 1,551.90 = 941.40 : x
  2. Step 2: Convert to fraction form
    1,039.09/1,551.90 = 941.40/x
  3. Step 3: Cross multiply
    1,039.09x = 1,551.90 × 941.40
  4. Step 4: Simplify right side
    1,039.09x = 1,460,958.66
  5. Step 5: Solve for x
    x = 1,460,958.66/1,039.09
  6. Step 6: Final answer
    x = 1,406.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.