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Finding the Fourth Proportional to 1,463.50, 2,019.82 and 941.05

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Solution

The fourth proportional to 1,463.50, 2,019.82 and 941.05 is: 1,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.50 : 2,019.82 = 941.05 : x
  2. Step 2: Convert to fraction form
    1,463.50/2,019.82 = 941.05/x
  3. Step 3: Cross multiply
    1,463.50x = 2,019.82 × 941.05
  4. Step 4: Simplify right side
    1,463.50x = 1,900,741.51
  5. Step 5: Solve for x
    x = 1,900,741.51/1,463.50
  6. Step 6: Final answer
    x = 1,298.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.