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Finding the Fourth Proportional to 2,160.45, 3,240.98 and 1,064.82

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Solution

The fourth proportional to 2,160.45, 3,240.98 and 1,064.82 is: 1,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.45 : 3,240.98 = 1,064.82 : x
  2. Step 2: Convert to fraction form
    2,160.45/3,240.98 = 1,064.82/x
  3. Step 3: Cross multiply
    2,160.45x = 3,240.98 × 1,064.82
  4. Step 4: Simplify right side
    2,160.45x = 3,451,060.32
  5. Step 5: Solve for x
    x = 3,451,060.32/2,160.45
  6. Step 6: Final answer
    x = 1,597.38

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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.