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Finding the Fourth Proportional to 2,905.43, 4,357.71 and 957.38

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Solution

The fourth proportional to 2,905.43, 4,357.71 and 957.38 is: 1,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.43 : 4,357.71 = 957.38 : x
  2. Step 2: Convert to fraction form
    2,905.43/4,357.71 = 957.38/x
  3. Step 3: Cross multiply
    2,905.43x = 4,357.71 × 957.38
  4. Step 4: Simplify right side
    2,905.43x = 4,171,962.61
  5. Step 5: Solve for x
    x = 4,171,962.61/2,905.43
  6. Step 6: Final answer
    x = 1,435.92

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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.