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Finding the Fourth Proportional to 2,830.64, 4,242.87 and 2,418.53

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Solution

The fourth proportional to 2,830.64, 4,242.87 and 2,418.53 is: 3,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.64 : 4,242.87 = 2,418.53 : x
  2. Step 2: Convert to fraction form
    2,830.64/4,242.87 = 2,418.53/x
  3. Step 3: Cross multiply
    2,830.64x = 4,242.87 × 2,418.53
  4. Step 4: Simplify right side
    2,830.64x = 10,261,487.17
  5. Step 5: Solve for x
    x = 10,261,487.17/2,830.64
  6. Step 6: Final answer
    x = 3,625.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.