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Finding the Fourth Proportional to 2,523.89, 3,783.51 and 1,702.42

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Solution

The fourth proportional to 2,523.89, 3,783.51 and 1,702.42 is: 2,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.89 : 3,783.51 = 1,702.42 : x
  2. Step 2: Convert to fraction form
    2,523.89/3,783.51 = 1,702.42/x
  3. Step 3: Cross multiply
    2,523.89x = 3,783.51 × 1,702.42
  4. Step 4: Simplify right side
    2,523.89x = 6,441,113.64
  5. Step 5: Solve for x
    x = 6,441,113.64/2,523.89
  6. Step 6: Final answer
    x = 2,552.06

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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.