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Finding the Fourth Proportional to 2,156.42, 2,976.84 and 1,410.42

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Solution

The fourth proportional to 2,156.42, 2,976.84 and 1,410.42 is: 1,947.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.42 : 2,976.84 = 1,410.42 : x
  2. Step 2: Convert to fraction form
    2,156.42/2,976.84 = 1,410.42/x
  3. Step 3: Cross multiply
    2,156.42x = 2,976.84 × 1,410.42
  4. Step 4: Simplify right side
    2,156.42x = 4,198,594.67
  5. Step 5: Solve for x
    x = 4,198,594.67/2,156.42
  6. Step 6: Final answer
    x = 1,947.02

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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.