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Finding the Fourth Proportional to 1,523.08, 2,284.62 and 1,009

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Solution

The fourth proportional to 1,523.08, 2,284.62 and 1,009 is: 1,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.08 : 2,284.62 = 1,009 : x
  2. Step 2: Convert to fraction form
    1,523.08/2,284.62 = 1,009/x
  3. Step 3: Cross multiply
    1,523.08x = 2,284.62 × 1,009
  4. Step 4: Simplify right side
    1,523.08x = 2,305,181.58
  5. Step 5: Solve for x
    x = 2,305,181.58/1,523.08
  6. Step 6: Final answer
    x = 1,513.50

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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.