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Finding the Fourth Proportional to 2,860.02, 3,944.43 and 1,864.53

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Solution

The fourth proportional to 2,860.02, 3,944.43 and 1,864.53 is: 2,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.02 : 3,944.43 = 1,864.53 : x
  2. Step 2: Convert to fraction form
    2,860.02/3,944.43 = 1,864.53/x
  3. Step 3: Cross multiply
    2,860.02x = 3,944.43 × 1,864.53
  4. Step 4: Simplify right side
    2,860.02x = 7,354,508.07
  5. Step 5: Solve for x
    x = 7,354,508.07/2,860.02
  6. Step 6: Final answer
    x = 2,571.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.