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Finding the Fourth Proportional to 2,186.51, 3,276.51 and 953.25

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Solution

The fourth proportional to 2,186.51, 3,276.51 and 953.25 is: 1,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.51 : 3,276.51 = 953.25 : x
  2. Step 2: Convert to fraction form
    2,186.51/3,276.51 = 953.25/x
  3. Step 3: Cross multiply
    2,186.51x = 3,276.51 × 953.25
  4. Step 4: Simplify right side
    2,186.51x = 3,123,333.16
  5. Step 5: Solve for x
    x = 3,123,333.16/2,186.51
  6. Step 6: Final answer
    x = 1,428.46

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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.