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Finding the Fourth Proportional to 1,527.66, 2,291.54 and 1,447.67

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Solution

The fourth proportional to 1,527.66, 2,291.54 and 1,447.67 is: 2,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.66 : 2,291.54 = 1,447.67 : x
  2. Step 2: Convert to fraction form
    1,527.66/2,291.54 = 1,447.67/x
  3. Step 3: Cross multiply
    1,527.66x = 2,291.54 × 1,447.67
  4. Step 4: Simplify right side
    1,527.66x = 3,317,400.35
  5. Step 5: Solve for x
    x = 3,317,400.35/1,527.66
  6. Step 6: Final answer
    x = 2,171.56

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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.