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Finding the Fourth Proportional to 2,179.35, 3,260.93 and 1,302.30

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Solution

The fourth proportional to 2,179.35, 3,260.93 and 1,302.30 is: 1,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.35 : 3,260.93 = 1,302.30 : x
  2. Step 2: Convert to fraction form
    2,179.35/3,260.93 = 1,302.30/x
  3. Step 3: Cross multiply
    2,179.35x = 3,260.93 × 1,302.30
  4. Step 4: Simplify right side
    2,179.35x = 4,246,702.63
  5. Step 5: Solve for x
    x = 4,246,702.63/2,179.35
  6. Step 6: Final answer
    x = 1,948.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.