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Finding the Fourth Proportional to 1,419.04, 2,127.92 and 834.32

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Solution

The fourth proportional to 1,419.04, 2,127.92 and 834.32 is: 1,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.04 : 2,127.92 = 834.32 : x
  2. Step 2: Convert to fraction form
    1,419.04/2,127.92 = 834.32/x
  3. Step 3: Cross multiply
    1,419.04x = 2,127.92 × 834.32
  4. Step 4: Simplify right side
    1,419.04x = 1,775,366.21
  5. Step 5: Solve for x
    x = 1,775,366.21/1,419.04
  6. Step 6: Final answer
    x = 1,251.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.