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Finding the Fourth Proportional to 1,454.78, 2,182.15 and 589.70

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Solution

The fourth proportional to 1,454.78, 2,182.15 and 589.70 is: 884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.78 : 2,182.15 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,454.78/2,182.15 = 589.70/x
  3. Step 3: Cross multiply
    1,454.78x = 2,182.15 × 589.70
  4. Step 4: Simplify right side
    1,454.78x = 1,286,813.86
  5. Step 5: Solve for x
    x = 1,286,813.86/1,454.78
  6. Step 6: Final answer
    x = 884.54

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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.