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Finding the Fourth Proportional to 1,976.88, 2,965.62 and 678.72

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Solution

The fourth proportional to 1,976.88, 2,965.62 and 678.72 is: 1,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.88 : 2,965.62 = 678.72 : x
  2. Step 2: Convert to fraction form
    1,976.88/2,965.62 = 678.72/x
  3. Step 3: Cross multiply
    1,976.88x = 2,965.62 × 678.72
  4. Step 4: Simplify right side
    1,976.88x = 2,012,825.61
  5. Step 5: Solve for x
    x = 2,012,825.61/1,976.88
  6. Step 6: Final answer
    x = 1,018.18

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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.