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Finding the Fourth Proportional to 2,171.84, 3,258.03 and 711.14

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Solution

The fourth proportional to 2,171.84, 3,258.03 and 711.14 is: 1,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.84 : 3,258.03 = 711.14 : x
  2. Step 2: Convert to fraction form
    2,171.84/3,258.03 = 711.14/x
  3. Step 3: Cross multiply
    2,171.84x = 3,258.03 × 711.14
  4. Step 4: Simplify right side
    2,171.84x = 2,316,915.45
  5. Step 5: Solve for x
    x = 2,316,915.45/2,171.84
  6. Step 6: Final answer
    x = 1,066.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.