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Finding the Fourth Proportional to 2,905.11, 4,358.10 and 957.13

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Solution

The fourth proportional to 2,905.11, 4,358.10 and 957.13 is: 1,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.11 : 4,358.10 = 957.13 : x
  2. Step 2: Convert to fraction form
    2,905.11/4,358.10 = 957.13/x
  3. Step 3: Cross multiply
    2,905.11x = 4,358.10 × 957.13
  4. Step 4: Simplify right side
    2,905.11x = 4,171,268.25
  5. Step 5: Solve for x
    x = 4,171,268.25/2,905.11
  6. Step 6: Final answer
    x = 1,435.84

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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.