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Finding the Fourth Proportional to 1,980.60, 2,967.93 and 1,588.56

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Solution

The fourth proportional to 1,980.60, 2,967.93 and 1,588.56 is: 2,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.60 : 2,967.93 = 1,588.56 : x
  2. Step 2: Convert to fraction form
    1,980.60/2,967.93 = 1,588.56/x
  3. Step 3: Cross multiply
    1,980.60x = 2,967.93 × 1,588.56
  4. Step 4: Simplify right side
    1,980.60x = 4,714,734.88
  5. Step 5: Solve for x
    x = 4,714,734.88/1,980.60
  6. Step 6: Final answer
    x = 2,380.46

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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.