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Finding the Fourth Proportional to 2,172.66, 3,256.70 and 711.42

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Solution

The fourth proportional to 2,172.66, 3,256.70 and 711.42 is: 1,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.66 : 3,256.70 = 711.42 : x
  2. Step 2: Convert to fraction form
    2,172.66/3,256.70 = 711.42/x
  3. Step 3: Cross multiply
    2,172.66x = 3,256.70 × 711.42
  4. Step 4: Simplify right side
    2,172.66x = 2,316,877.96
  5. Step 5: Solve for x
    x = 2,316,877.96/2,172.66
  6. Step 6: Final answer
    x = 1,066.38

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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.