Home / 2,035.70-3,054.00-649.11

Finding the Fourth Proportional to 2,035.70, 3,054.00 and 649.11

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Solution

The fourth proportional to 2,035.70, 3,054.00 and 649.11 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.70 : 3,054.00 = 649.11 : x
  2. Step 2: Convert to fraction form
    2,035.70/3,054.00 = 649.11/x
  3. Step 3: Cross multiply
    2,035.70x = 3,054.00 × 649.11
  4. Step 4: Simplify right side
    2,035.70x = 1,982,395.83
  5. Step 5: Solve for x
    x = 1,982,395.83/2,035.70
  6. Step 6: Final answer
    x = 973.82

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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.