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Finding the Fourth Proportional to 1,675.64, 2,512.55 and 854.30

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Solution

The fourth proportional to 1,675.64, 2,512.55 and 854.30 is: 1,280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.64 : 2,512.55 = 854.30 : x
  2. Step 2: Convert to fraction form
    1,675.64/2,512.55 = 854.30/x
  3. Step 3: Cross multiply
    1,675.64x = 2,512.55 × 854.30
  4. Step 4: Simplify right side
    1,675.64x = 2,146,454.63
  5. Step 5: Solve for x
    x = 2,146,454.63/1,675.64
  6. Step 6: Final answer
    x = 1,280.98

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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.