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Finding the Fourth Proportional to 2,817.74, 3,888.27 and 1,575.50

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Solution

The fourth proportional to 2,817.74, 3,888.27 and 1,575.50 is: 2,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.74 : 3,888.27 = 1,575.50 : x
  2. Step 2: Convert to fraction form
    2,817.74/3,888.27 = 1,575.50/x
  3. Step 3: Cross multiply
    2,817.74x = 3,888.27 × 1,575.50
  4. Step 4: Simplify right side
    2,817.74x = 6,125,969.39
  5. Step 5: Solve for x
    x = 6,125,969.39/2,817.74
  6. Step 6: Final answer
    x = 2,174.07

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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.