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Finding the Fourth Proportional to 2,009.58, 3,014.37 and 1,035.15

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Solution

The fourth proportional to 2,009.58, 3,014.37 and 1,035.15 is: 1,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.58 : 3,014.37 = 1,035.15 : x
  2. Step 2: Convert to fraction form
    2,009.58/3,014.37 = 1,035.15/x
  3. Step 3: Cross multiply
    2,009.58x = 3,014.37 × 1,035.15
  4. Step 4: Simplify right side
    2,009.58x = 3,120,325.11
  5. Step 5: Solve for x
    x = 3,120,325.11/2,009.58
  6. Step 6: Final answer
    x = 1,552.73

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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.