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Finding the Fourth Proportional to 2,815.74, 3,885.51 and 1,573.50

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Solution

The fourth proportional to 2,815.74, 3,885.51 and 1,573.50 is: 2,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.74 : 3,885.51 = 1,573.50 : x
  2. Step 2: Convert to fraction form
    2,815.74/3,885.51 = 1,573.50/x
  3. Step 3: Cross multiply
    2,815.74x = 3,885.51 × 1,573.50
  4. Step 4: Simplify right side
    2,815.74x = 6,113,849.99
  5. Step 5: Solve for x
    x = 6,113,849.99/2,815.74
  6. Step 6: Final answer
    x = 2,171.31

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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.