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Finding the Fourth Proportional to 1,976.89, 2,965.47 and 678.01

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Solution

The fourth proportional to 1,976.89, 2,965.47 and 678.01 is: 1,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.89 : 2,965.47 = 678.01 : x
  2. Step 2: Convert to fraction form
    1,976.89/2,965.47 = 678.01/x
  3. Step 3: Cross multiply
    1,976.89x = 2,965.47 × 678.01
  4. Step 4: Simplify right side
    1,976.89x = 2,010,600.10
  5. Step 5: Solve for x
    x = 2,010,600.10/1,976.89
  6. Step 6: Final answer
    x = 1,017.05

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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.