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Finding the Fourth Proportional to 2,172.27, 3,258.69 and 710.91

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Solution

The fourth proportional to 2,172.27, 3,258.69 and 710.91 is: 1,066.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.27 : 3,258.69 = 710.91 : x
  2. Step 2: Convert to fraction form
    2,172.27/3,258.69 = 710.91/x
  3. Step 3: Cross multiply
    2,172.27x = 3,258.69 × 710.91
  4. Step 4: Simplify right side
    2,172.27x = 2,316,635.31
  5. Step 5: Solve for x
    x = 2,316,635.31/2,172.27
  6. Step 6: Final answer
    x = 1,066.46

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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.