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Finding the Fourth Proportional to 2,035.03, 3,052.55 and 496.03

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Solution

The fourth proportional to 2,035.03, 3,052.55 and 496.03 is: 744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.03 : 3,052.55 = 496.03 : x
  2. Step 2: Convert to fraction form
    2,035.03/3,052.55 = 496.03/x
  3. Step 3: Cross multiply
    2,035.03x = 3,052.55 × 496.03
  4. Step 4: Simplify right side
    2,035.03x = 1,514,156.38
  5. Step 5: Solve for x
    x = 1,514,156.38/2,035.03
  6. Step 6: Final answer
    x = 744.05

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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.