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Finding the Fourth Proportional to 1,609.08, 2,415.06 and 840.12

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Solution

The fourth proportional to 1,609.08, 2,415.06 and 840.12 is: 1,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.08 : 2,415.06 = 840.12 : x
  2. Step 2: Convert to fraction form
    1,609.08/2,415.06 = 840.12/x
  3. Step 3: Cross multiply
    1,609.08x = 2,415.06 × 840.12
  4. Step 4: Simplify right side
    1,609.08x = 2,028,940.21
  5. Step 5: Solve for x
    x = 2,028,940.21/1,609.08
  6. Step 6: Final answer
    x = 1,260.93

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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.