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Finding the Fourth Proportional to 2,035.19, 3,052.79 and 496.19

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Solution

The fourth proportional to 2,035.19, 3,052.79 and 496.19 is: 744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.19 : 3,052.79 = 496.19 : x
  2. Step 2: Convert to fraction form
    2,035.19/3,052.79 = 496.19/x
  3. Step 3: Cross multiply
    2,035.19x = 3,052.79 × 496.19
  4. Step 4: Simplify right side
    2,035.19x = 1,514,746.13
  5. Step 5: Solve for x
    x = 1,514,746.13/2,035.19
  6. Step 6: Final answer
    x = 744.28

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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.