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Finding the Fourth Proportional to 2,006.60, 3,001.80 and 1,735.70

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Solution

The fourth proportional to 2,006.60, 3,001.80 and 1,735.70 is: 2,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.60 : 3,001.80 = 1,735.70 : x
  2. Step 2: Convert to fraction form
    2,006.60/3,001.80 = 1,735.70/x
  3. Step 3: Cross multiply
    2,006.60x = 3,001.80 × 1,735.70
  4. Step 4: Simplify right side
    2,006.60x = 5,210,224.26
  5. Step 5: Solve for x
    x = 5,210,224.26/2,006.60
  6. Step 6: Final answer
    x = 2,596.54

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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.