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Finding the Fourth Proportional to 2,187.14, 3,280.77 and 953.91

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Solution

The fourth proportional to 2,187.14, 3,280.77 and 953.91 is: 1,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.14 : 3,280.77 = 953.91 : x
  2. Step 2: Convert to fraction form
    2,187.14/3,280.77 = 953.91/x
  3. Step 3: Cross multiply
    2,187.14x = 3,280.77 × 953.91
  4. Step 4: Simplify right side
    2,187.14x = 3,129,559.31
  5. Step 5: Solve for x
    x = 3,129,559.31/2,187.14
  6. Step 6: Final answer
    x = 1,430.89

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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.