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Finding the Fourth Proportional to 1,475.50, 2,036.43 and 854.86

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Solution

The fourth proportional to 1,475.50, 2,036.43 and 854.86 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.50 : 2,036.43 = 854.86 : x
  2. Step 2: Convert to fraction form
    1,475.50/2,036.43 = 854.86/x
  3. Step 3: Cross multiply
    1,475.50x = 2,036.43 × 854.86
  4. Step 4: Simplify right side
    1,475.50x = 1,740,862.55
  5. Step 5: Solve for x
    x = 1,740,862.55/1,475.50
  6. Step 6: Final answer
    x = 1,179.85

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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.