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Finding the Fourth Proportional to 1,411.68, 1,947.20 and 1,019.28

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Solution

The fourth proportional to 1,411.68, 1,947.20 and 1,019.28 is: 1,405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.68 : 1,947.20 = 1,019.28 : x
  2. Step 2: Convert to fraction form
    1,411.68/1,947.20 = 1,019.28/x
  3. Step 3: Cross multiply
    1,411.68x = 1,947.20 × 1,019.28
  4. Step 4: Simplify right side
    1,411.68x = 1,984,742.02
  5. Step 5: Solve for x
    x = 1,984,742.02/1,411.68
  6. Step 6: Final answer
    x = 1,405.94

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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.