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Finding the Fourth Proportional to 2,352.75, 3,527.90 and 871.81

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Solution

The fourth proportional to 2,352.75, 3,527.90 and 871.81 is: 1,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.75 : 3,527.90 = 871.81 : x
  2. Step 2: Convert to fraction form
    2,352.75/3,527.90 = 871.81/x
  3. Step 3: Cross multiply
    2,352.75x = 3,527.90 × 871.81
  4. Step 4: Simplify right side
    2,352.75x = 3,075,673.34
  5. Step 5: Solve for x
    x = 3,075,673.34/2,352.75
  6. Step 6: Final answer
    x = 1,307.27

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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.