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Finding the Fourth Proportional to 2,971.94, 4,456.08 and 1,412.42

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Solution

The fourth proportional to 2,971.94, 4,456.08 and 1,412.42 is: 2,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.94 : 4,456.08 = 1,412.42 : x
  2. Step 2: Convert to fraction form
    2,971.94/4,456.08 = 1,412.42/x
  3. Step 3: Cross multiply
    2,971.94x = 4,456.08 × 1,412.42
  4. Step 4: Simplify right side
    2,971.94x = 6,293,834.23
  5. Step 5: Solve for x
    x = 6,293,834.23/2,971.94
  6. Step 6: Final answer
    x = 2,117.76

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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.