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Finding the Fourth Proportional to 1,449.16, 2,171.00 and 718.34

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Solution

The fourth proportional to 1,449.16, 2,171.00 and 718.34 is: 1,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.16 : 2,171.00 = 718.34 : x
  2. Step 2: Convert to fraction form
    1,449.16/2,171.00 = 718.34/x
  3. Step 3: Cross multiply
    1,449.16x = 2,171.00 × 718.34
  4. Step 4: Simplify right side
    1,449.16x = 1,559,507.08
  5. Step 5: Solve for x
    x = 1,559,507.08/1,449.16
  6. Step 6: Final answer
    x = 1,076.15

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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.