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Finding the Fourth Proportional to 1,964.31, 2,710.07 and 1,218.00

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Solution

The fourth proportional to 1,964.31, 2,710.07 and 1,218.00 is: 1,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.31 : 2,710.07 = 1,218.00 : x
  2. Step 2: Convert to fraction form
    1,964.31/2,710.07 = 1,218.00/x
  3. Step 3: Cross multiply
    1,964.31x = 2,710.07 × 1,218.00
  4. Step 4: Simplify right side
    1,964.31x = 3,300,852.81
  5. Step 5: Solve for x
    x = 3,300,852.81/1,964.31
  6. Step 6: Final answer
    x = 1,680.42

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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.