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Finding the Fourth Proportional to 1,411.05, 1,945.10 and 1,111.75

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Solution

The fourth proportional to 1,411.05, 1,945.10 and 1,111.75 is: 1,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.05 : 1,945.10 = 1,111.75 : x
  2. Step 2: Convert to fraction form
    1,411.05/1,945.10 = 1,111.75/x
  3. Step 3: Cross multiply
    1,411.05x = 1,945.10 × 1,111.75
  4. Step 4: Simplify right side
    1,411.05x = 2,162,464.93
  5. Step 5: Solve for x
    x = 2,162,464.93/1,411.05
  6. Step 6: Final answer
    x = 1,532.52

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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.