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Finding the Fourth Proportional to 2,905.23, 4,358.46 and 957.39

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Solution

The fourth proportional to 2,905.23, 4,358.46 and 957.39 is: 1,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.23 : 4,358.46 = 957.39 : x
  2. Step 2: Convert to fraction form
    2,905.23/4,358.46 = 957.39/x
  3. Step 3: Cross multiply
    2,905.23x = 4,358.46 × 957.39
  4. Step 4: Simplify right side
    2,905.23x = 4,172,746.02
  5. Step 5: Solve for x
    x = 4,172,746.02/2,905.23
  6. Step 6: Final answer
    x = 1,436.29

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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.