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Finding the Fourth Proportional to 2,036.33, 3,053.57 and 649.40

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Solution

The fourth proportional to 2,036.33, 3,053.57 and 649.40 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.33 : 3,053.57 = 649.40 : x
  2. Step 2: Convert to fraction form
    2,036.33/3,053.57 = 649.40/x
  3. Step 3: Cross multiply
    2,036.33x = 3,053.57 × 649.40
  4. Step 4: Simplify right side
    2,036.33x = 1,982,969.84
  5. Step 5: Solve for x
    x = 1,982,969.84/2,036.33
  6. Step 6: Final answer
    x = 973.80

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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.