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Finding the Fourth Proportional to 1,930.40, 2,896.16 and 957.32

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Solution

The fourth proportional to 1,930.40, 2,896.16 and 957.32 is: 1,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.40 : 2,896.16 = 957.32 : x
  2. Step 2: Convert to fraction form
    1,930.40/2,896.16 = 957.32/x
  3. Step 3: Cross multiply
    1,930.40x = 2,896.16 × 957.32
  4. Step 4: Simplify right side
    1,930.40x = 2,772,551.89
  5. Step 5: Solve for x
    x = 2,772,551.89/1,930.40
  6. Step 6: Final answer
    x = 1,436.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.