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Finding the Fourth Proportional to 2,905.32, 4,360.14 and 1,609.32

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Solution

The fourth proportional to 2,905.32, 4,360.14 and 1,609.32 is: 2,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.32 : 4,360.14 = 1,609.32 : x
  2. Step 2: Convert to fraction form
    2,905.32/4,360.14 = 1,609.32/x
  3. Step 3: Cross multiply
    2,905.32x = 4,360.14 × 1,609.32
  4. Step 4: Simplify right side
    2,905.32x = 7,016,860.50
  5. Step 5: Solve for x
    x = 7,016,860.50/2,905.32
  6. Step 6: Final answer
    x = 2,415.18

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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.