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Finding the Fourth Proportional to 2,189.14, 3,285.88 and 957.40

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Solution

The fourth proportional to 2,189.14, 3,285.88 and 957.40 is: 1,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.14 : 3,285.88 = 957.40 : x
  2. Step 2: Convert to fraction form
    2,189.14/3,285.88 = 957.40/x
  3. Step 3: Cross multiply
    2,189.14x = 3,285.88 × 957.40
  4. Step 4: Simplify right side
    2,189.14x = 3,145,901.51
  5. Step 5: Solve for x
    x = 3,145,901.51/2,189.14
  6. Step 6: Final answer
    x = 1,437.05

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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.