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Finding the Fourth Proportional to 2,035.35, 3,053.02 and 496.35

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Solution

The fourth proportional to 2,035.35, 3,053.02 and 496.35 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.35 : 3,053.02 = 496.35 : x
  2. Step 2: Convert to fraction form
    2,035.35/3,053.02 = 496.35/x
  3. Step 3: Cross multiply
    2,035.35x = 3,053.02 × 496.35
  4. Step 4: Simplify right side
    2,035.35x = 1,515,366.48
  5. Step 5: Solve for x
    x = 1,515,366.48/2,035.35
  6. Step 6: Final answer
    x = 744.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.