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Finding the Fourth Proportional to 1,411.30, 1,943.35 and 1,162.19

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Solution

The fourth proportional to 1,411.30, 1,943.35 and 1,162.19 is: 1,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.30 : 1,943.35 = 1,162.19 : x
  2. Step 2: Convert to fraction form
    1,411.30/1,943.35 = 1,162.19/x
  3. Step 3: Cross multiply
    1,411.30x = 1,943.35 × 1,162.19
  4. Step 4: Simplify right side
    1,411.30x = 2,258,538.40
  5. Step 5: Solve for x
    x = 2,258,538.40/1,411.30
  6. Step 6: Final answer
    x = 1,600.33

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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.