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Finding the Fourth Proportional to 2,854.02, 3,936.15 and 1,858.53

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Solution

The fourth proportional to 2,854.02, 3,936.15 and 1,858.53 is: 2,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.02 : 3,936.15 = 1,858.53 : x
  2. Step 2: Convert to fraction form
    2,854.02/3,936.15 = 1,858.53/x
  3. Step 3: Cross multiply
    2,854.02x = 3,936.15 × 1,858.53
  4. Step 4: Simplify right side
    2,854.02x = 7,315,452.86
  5. Step 5: Solve for x
    x = 7,315,452.86/2,854.02
  6. Step 6: Final answer
    x = 2,563.21

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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.