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Finding the Fourth Proportional to 2,972.69, 4,456.08 and 1,409.94

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Solution

The fourth proportional to 2,972.69, 4,456.08 and 1,409.94 is: 2,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.69 : 4,456.08 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    2,972.69/4,456.08 = 1,409.94/x
  3. Step 3: Cross multiply
    2,972.69x = 4,456.08 × 1,409.94
  4. Step 4: Simplify right side
    2,972.69x = 6,282,805.44
  5. Step 5: Solve for x
    x = 6,282,805.44/2,972.69
  6. Step 6: Final answer
    x = 2,113.51

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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.