Home / 2,035.70-3,053.51-649.01

Finding the Fourth Proportional to 2,035.70, 3,053.51 and 649.01

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Solution

The fourth proportional to 2,035.70, 3,053.51 and 649.01 is: 973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.70 : 3,053.51 = 649.01 : x
  2. Step 2: Convert to fraction form
    2,035.70/3,053.51 = 649.01/x
  3. Step 3: Cross multiply
    2,035.70x = 3,053.51 × 649.01
  4. Step 4: Simplify right side
    2,035.70x = 1,981,740.01
  5. Step 5: Solve for x
    x = 1,981,740.01/2,035.70
  6. Step 6: Final answer
    x = 973.50

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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.