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Finding the Fourth Proportional to 2,010.68, 3,009.53 and 1,035.44

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Solution

The fourth proportional to 2,010.68, 3,009.53 and 1,035.44 is: 1,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.68 : 3,009.53 = 1,035.44 : x
  2. Step 2: Convert to fraction form
    2,010.68/3,009.53 = 1,035.44/x
  3. Step 3: Cross multiply
    2,010.68x = 3,009.53 × 1,035.44
  4. Step 4: Simplify right side
    2,010.68x = 3,116,175.28
  5. Step 5: Solve for x
    x = 3,116,175.28/2,010.68
  6. Step 6: Final answer
    x = 1,549.82

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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.