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Finding the Fourth Proportional to 2,381.64, 3,571.80 and 649.84

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Solution

The fourth proportional to 2,381.64, 3,571.80 and 649.84 is: 974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.64 : 3,571.80 = 649.84 : x
  2. Step 2: Convert to fraction form
    2,381.64/3,571.80 = 649.84/x
  3. Step 3: Cross multiply
    2,381.64x = 3,571.80 × 649.84
  4. Step 4: Simplify right side
    2,381.64x = 2,321,098.51
  5. Step 5: Solve for x
    x = 2,321,098.51/2,381.64
  6. Step 6: Final answer
    x = 974.58

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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.