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Finding the Fourth Proportional to 1,930.08, 2,892.72 and 1,005.16

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Solution

The fourth proportional to 1,930.08, 2,892.72 and 1,005.16 is: 1,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.08 : 2,892.72 = 1,005.16 : x
  2. Step 2: Convert to fraction form
    1,930.08/2,892.72 = 1,005.16/x
  3. Step 3: Cross multiply
    1,930.08x = 2,892.72 × 1,005.16
  4. Step 4: Simplify right side
    1,930.08x = 2,907,646.44
  5. Step 5: Solve for x
    x = 2,907,646.44/1,930.08
  6. Step 6: Final answer
    x = 1,506.49

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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.