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Finding the Fourth Proportional to 1,976.43, 2,964.65 and 678.00

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Solution

The fourth proportional to 1,976.43, 2,964.65 and 678.00 is: 1,017.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.43 : 2,964.65 = 678.00 : x
  2. Step 2: Convert to fraction form
    1,976.43/2,964.65 = 678.00/x
  3. Step 3: Cross multiply
    1,976.43x = 2,964.65 × 678.00
  4. Step 4: Simplify right side
    1,976.43x = 2,010,044.24
  5. Step 5: Solve for x
    x = 2,010,044.24/1,976.43
  6. Step 6: Final answer
    x = 1,017.01

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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.