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Finding the Fourth Proportional to 2,035.48, 3,053.20 and 496.48

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Solution

The fourth proportional to 2,035.48, 3,053.20 and 496.48 is: 744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.48 : 3,053.20 = 496.48 : x
  2. Step 2: Convert to fraction form
    2,035.48/3,053.20 = 496.48/x
  3. Step 3: Cross multiply
    2,035.48x = 3,053.20 × 496.48
  4. Step 4: Simplify right side
    2,035.48x = 1,515,852.74
  5. Step 5: Solve for x
    x = 1,515,852.74/2,035.48
  6. Step 6: Final answer
    x = 744.72

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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.