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Finding the Fourth Proportional to 2,187.09, 3,281.55 and 953.88

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Solution

The fourth proportional to 2,187.09, 3,281.55 and 953.88 is: 1,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.09 : 3,281.55 = 953.88 : x
  2. Step 2: Convert to fraction form
    2,187.09/3,281.55 = 953.88/x
  3. Step 3: Cross multiply
    2,187.09x = 3,281.55 × 953.88
  4. Step 4: Simplify right side
    2,187.09x = 3,130,204.91
  5. Step 5: Solve for x
    x = 3,130,204.91/2,187.09
  6. Step 6: Final answer
    x = 1,431.22

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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.