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Finding the Fourth Proportional to 1,285.46, 1,930.08 and 1,051.90

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Solution

The fourth proportional to 1,285.46, 1,930.08 and 1,051.90 is: 1,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.46 : 1,930.08 = 1,051.90 : x
  2. Step 2: Convert to fraction form
    1,285.46/1,930.08 = 1,051.90/x
  3. Step 3: Cross multiply
    1,285.46x = 1,930.08 × 1,051.90
  4. Step 4: Simplify right side
    1,285.46x = 2,030,251.15
  5. Step 5: Solve for x
    x = 2,030,251.15/1,285.46
  6. Step 6: Final answer
    x = 1,579.40

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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.