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Finding the Fourth Proportional to 1,414.47, 2,121.93 and 1,316.64

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Solution

The fourth proportional to 1,414.47, 2,121.93 and 1,316.64 is: 1,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.47 : 2,121.93 = 1,316.64 : x
  2. Step 2: Convert to fraction form
    1,414.47/2,121.93 = 1,316.64/x
  3. Step 3: Cross multiply
    1,414.47x = 2,121.93 × 1,316.64
  4. Step 4: Simplify right side
    1,414.47x = 2,793,817.92
  5. Step 5: Solve for x
    x = 2,793,817.92/1,414.47
  6. Step 6: Final answer
    x = 1,975.17

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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.