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Finding the Fourth Proportional to 1,455.12, 2,182.86 and 589.56

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Solution

The fourth proportional to 1,455.12, 2,182.86 and 589.56 is: 884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.12 : 2,182.86 = 589.56 : x
  2. Step 2: Convert to fraction form
    1,455.12/2,182.86 = 589.56/x
  3. Step 3: Cross multiply
    1,455.12x = 2,182.86 × 589.56
  4. Step 4: Simplify right side
    1,455.12x = 1,286,926.94
  5. Step 5: Solve for x
    x = 1,286,926.94/1,455.12
  6. Step 6: Final answer
    x = 884.41

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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.